In physics, circular motion is a movement of an object along the circumference of a circle or rotation along a circular path. It can be uniform, with constant angular rate of rotation and constant speed, or non-uniform with a changing rate of rotation. The rotation around a fixed axis of a three-dimensional body involves circular motion of its parts. The equations of motion describe the movement of the center of mass of a body. In circular motion, the distance between the body and a fixed point on the surface remains the same.
Examples of circular motion include: an artificial satellite orbiting the Earth at a constant height, a ceiling fan's blades rotating around a hub, a stone which is tied to a rope and is being swung in circles, a car turning through a curve in a race track, an electron moving perpendicular to a uniform magnetic field, and a gear turning inside a mechanism.
Since the object's velocity vector is constantly changing direction, the moving object is undergoing acceleration by a centripetal force in the direction of the center of rotation. Without this acceleration, the object would move in a straight line, according to Newton's laws of motion.
What is the physics behind a orbit a cube planet. Does the convential physics including keplars laws and circular motion still apply. Also The cube having a centre of mass posited in the middle of the cude does this mean it can be consider point mass and the same as spherical planet orbit?
any...
please explain the phenomenon of friction acting on a car moving in a circular track.also explain how is this friction static and how is this friction different from the friction acting on a car moving on a straight road.
please explain why?
Take 2 cases,and explain how is the direction of friction different in these 2 cases.
CASE 1:uniform circular motion
CASE 2:non uniform circular motion
my thought was,friction opposes relative motion,so it must be tangential to the particle at each and every point.
i very...
I don't really understand the difference between uniform circular motion and rotational motion. I know that uniform circular motion deals with a body that is orbiting around a central point, with a centripetal force that is causing it to move in a circle. I know that rotational motion uses...
Homework Statement
A point mass, sliding over an even, horizontal plane is bounded on an inextensible, massless thread. During the motion, the thread is pulled by a force F with constant velocity ##v_{o} ## through a hole O. In the beginning (##t_{o} ## = 0) r(##t_{o} ##)=b holds (the length...
Homework Statement
A mass m1= 0.200 kg is tied to a string with enough slack to swing around someone's head with a radius of 0.500 meters. What angular velocity must m1 have in order to hold up a mass m2 hanging from the other end of the string if m2 is 0.300 kg?Homework Equations
ac= v^2/r...
Homework Statement
A car travels along the perimeter of a vertical circle (radius = 0.25 km) at a constant speed of 30 m/s. What is the magnitude of the resultant force on the 60-kg driver of the car at the lowest point on this circular path?
Question options:
1) 0.37 kN
2) 0.80 kN
3) 0.22 kN...
Homework Statement
A 50 g weight is swung in a circle on the end of a 90 cm long string at the speed of 5.9 m/s, what is centripetal force? [1.9 N]
Homework Equations
Vc = (2πr)\T
|a| = v^2/r
Fc = T-Fg (not sure if T is force of tension or period, my teacher,incorrectly,uses it...
Homework Statement
Describe the relationship between the resulting torque from each scenario using the torque equation.
Question this question is addressing- Using the bricks from the materials on the right, create and record 10 different combinations of two unequal masses that result in a...
For a vertical circular motion, its standard to solve for tension at the 4 common points on the circle (North, South, East, West)
My question is, is it possible to solve for tension at other locations?
Example :https://www.dropbox.com/s/c4q1sprphol2tzb/20151127_020345.jpg?dl=0
Can i resolve...
Let's ignore gravity in this problem for simplicity. For a wheel rolling without slipping on some surface, the rest point is the point at a given instant of time that is in contact with the surface (the rest point has zero instantaneous velocity). If the wheel is rolling at constant velocity...
Hi. I am having some difficulty with circular motion.An object is spun vertically on a rope a) when would the string be most likely to break?
The object would most likely to break when it has the most tension, so at the bottom of the circle it is Ft-Fg=Mv^2/r which is (Ft=Mv^2/r + Fg) while the...
Homework Statement
A car of mass (m) is attached to a cable of length (L) to a rotating pole. The car will speed up and travel in a circle. If the maximum speed of the car is vmax, what should the minimum strength of the cable connecting the car to the pole be? Note the surface is not...
Homework Statement
For a scene in a movie, a stunt driver drives a 1.20✕ 103 kg pickup truck with a length of 4.65 m around a circular curve with a radius of curvature of 0.333 km (Fig. 7.29). The truck is to curve off the road, jump across a gully 10.0 m wide, and land on the other side 2.96 m...
Homework Statement
http://i.imgur.com/Nbg3Nrc.jpg
pic of question
Homework Equations
v = wr, s=rtheta t=1/f etc
The Attempt at a Solution
i did a, got 504 radpersec and then did b, r = 1.3sin40 i - 1.3cos40 j + 0 k
but I'm not sure if I'm doing it right. can anyone help me and point me in...
Hello,
i want to determine the velocity with which an object moves after it has departed a rotating disk. In my problem there is a disk rotating with the angular speed w. On this disk there is a drilling in which a mass m is positioned. In case the thread in the drilling fails i need to...
Homework Statement
Picture-
https://flic.kr/p/zi1ays
The rubber stopper will be spun at a constant speed in a horizontal circle. The hanging mass is only in contact with the string.[/B]
A) For the rubber stopper, state the forces and what they are exerted by and on
B) Does the net force have...
Homework Statement
This isn't a problem from a textbook or homework but just a general question.
Say there's a car traveling in a circle and that the track has some coefficient of kinetic friction µ. What would make the car skid?
Homework EquationsThe Attempt at a Solution
I'm thinking that...
Homework Statement
Hello, i got three different assignments i need help with right now, my teacher overestimated me and my physics skills, so I'm kind of lost on these three:
(i'm european so i work with meters)
1:
A planets radius is 10 000 km. the gravitationalacceleration is g0 = 15 m/s^2...
Homework Statement
A rollercoaster consists of a 45 degree slope that is 100 m long followed by two loops which have radii of 40 m and 20 m respectively. If the rollercoaster accelerates down the initial slope due to gravity, determine:
a. The acceleration of the rollercoaster down the 45...
In a non-uniform circular motion (for example a pendulum), can the centripetal/radial acceleration ever be 0? Likewise, can the tangential acceleration ever be 0?
The centripetal acceleration occurs because of the centripetal force, which causes the body (in the example of the pendulum, the...
In a non-uniform circular motion (for example a pendulum), can the centripetal/radial acceleration ever be 0? Likewise, can the tangential acceleration ever be 0?
The centripetal acceleration occurs because of the centripetal force, which causes the body (in the example of the pendulum, the...
Homework Statement
Homework Equations
Fnet=m(v^2/R)[/B]The Attempt at a Solution
I understood the FBD and how to find the bank angle. I just don't fully understand what part a and b are giving me in terms of friction. So for a, since it is skidding would only kinetic friction be used? Then...
Hello,
Here is a thing I'm confused about.
when I first knew about centripetal force and satellites. I thought of it the exact way like projectiles. I thought like :satellites do fall. If we specify a single direction, the magnitude of the velocity is really changing. I thought of its path that...
Homework Statement
Homework Equations
F=ma
ac=v^2/r
f=uN
v=v0+at
w=v/r
The Attempt at a Solution
v=v0+at
v=vo+umv^2/r
v^2(u/r)-v+vo=0
I don't see what differential equation i could use since the speed is dependent on the friction (equal to friction coeff times centripetal force) which in...
Hi,
I was recently thinking about a problem which I have no idea how to solve.
A full water container with volume V is hanged on a rope with length L (mass of the rope is negligible). It then starts to revolute around the point where the rope is hooked (circular motion, circle with radius L)...
Homework Statement
A 0.020-kg mass is attached to a 1.2-m string and moves in a horizontal circle with a constant speed. The tension in the string is measured at 0.200 N. What is the measure of angle θ?
Homework Equations
∑F=ma, a=v^2/r
The Attempt at a Solution
I broke down the forces at...
Homework Statement
NASA’s Vomit Comet simulates zero gravity by flying parabolic arcs of radius r and speed v to stimulate free fall. If the pilot flies a parabolic path which has a radius of 1km, calculate the speed (*in km/hr) the plane must travel at in order to stimulate free fall...
Homework Statement
This is an optional question given to Fluid mechanic students to work on for leisure.
P = power
ρ = fluid density, rho
ω= angular velocity omega
μ= dynamic viscosity, mu
D= diameter
Homework Equations
Show the that the power required to rotate the disc is given by...
Dear experts,
when a a stone at the end of the string is rotated with a high speed so that the string is suspended making zero degrees with the plane of the ground, how do we analyze the system from the rotating frame.
When a particle is attached to a rope and rotated, then tension acts perpendicular to displacement and work done is zero. But I am thinking about this case (top view):
Here, the rope is attached to a vertical cylinder and the particle is given a velocity perpendicular to the rope. The length...
Homework Statement
A car traveling on a flat (unbanked), circular track
accelerates uniformly from rest with a tangential acceleration
of 1.70 m/s2. The car makes it one-quarter of
the way around the circle before it skids off the track.
From these data, determine the coefficient of static...
Homework Statement
i was going through uniform circular but a confusion popped out of my head .
as i have read before the Rutherford atomic model was only rejected due to
the fact that electrons moving in circular orbits need to accelerate constantly
to maintain a uniform speed but the...
Homework Statement
Kim has her coffee cup on her car's dash when she takes a corner with radius 4 m and 20 km/h. What is the minimum coefficient of static friction which would allow the coffee cup to stay there without slipping?
Homework Equations
Can someone show me the steps in how they...
Homework Statement
Small mass ##m## ball has a negative charge ##q## and is hanging on an inelastic string which has a length of ##l##. What is the smallest velocity that one need to impart on this ball for it to make one revolution? There is also a uniform magnetic field ##B## as shown in the...
I recently took an exam in my engineering mechanics class and passed the exam except for one question. I have been trying to solve this question after the fact and determine the solution, however neither I nor several engineering tutors have had any success. The professor refuses to give...
Homework Statement
Thewheel is rotated in the anticlockwise direction...The correct reaction force is drawn using the blue pen . I don't understand why the reaction force isn't directed to the left ? which is drawn using the red colour ?
IMO, the red colour should be correct because the...
Why is there no component of tangential acceleration in uniform circular motion? I think its because when we apply the WE Theorem (Work-Energy Theorem) as follows:
Work Done = ΔKE
=> F.S = 1/2*m*(vf2 - vi2),
=>(ma).s = 1/2*m*(vf2 - vi2)
=> (ma).s = 1/2*m*(0) (since the speed remains constant in...
Homework Statement
Homework Equations
Circular Motion Equation
The Attempt at a Solution
I solved the problem and got the result to be 6 m/s2 but it is not one of the answers. I was pretty sure of my solution. So, are all choices wrong?
F = ma
mg sin 37 = ma
a = g sin 37 = 6.01 m/s2
Homework Statement
A police officer in hot pursuit drives her car through a circular turn of radius 356 m with a constant speed of 70.9 km/h. Her mass is 57.1 kg.What are (a) the magnitude and (b) the angle (relative to vertical) of the net force of the officer on the car seat? (Hint: Consider...
Homework Statement
A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 3.30 s, it is at point (5.10 m, 6.80 m) with velocity (3.90 m/s)## \hat j ## and acceleration in the positive x direction. At time t2 = 9.90 s, it has velocity...
Homework Statement
A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 3.30 s, it is at point (5.10 m, 6.80 m) with velocity (3.90 m/s) ## \hat j ##and acceleration in the positive x direction. At time t2 = 9.90 s, it has velocity...
Homework Statement
A 0.020-kg mass is attached to a 1.2-m string and moves in a horizontal circle with a constant speed of 1.50 m/s, as shown in the figure. What is the measure of angle θ?
What is given:
m = 0.020kg
v = 1.50 m/s
L = 1.2 m
Homework Equations
Lengths
L = 1.2m
Lsinθ = r...
Homework Statement
A particle moving along a straight line can have nonzero acceleration even when its speed is zero (for instance, a ball in free fall at the top of its path). Can a particle moving in a circle have nonzero centripetal acceleration when its speed is zero? If so, give an...
Homework Statement
An object is moving uniformly in circles with a radius of 5m and a frequency of 2 Hz. What is its instantaneous velocity?
Homework Equations
[/B]The Attempt at a Solution
The problem i am dealing with is the frecuency.
I am not here for an answer or to cheat. I am...
Hi guys...
So i searched the net for 2 whole days and found a couple of topics on how static friction is responsible for creating the force required to keep the body moving in a circle.. Friction points towards the center of the circle ONLY when the car is free wheeling i.e moving at a constant...
Homework Statement
This isn't a homework problem, but I was just thinking of the following question:
Suppose that a merry go round spins with a constant speed (so its radially accelerating towards the center), and a man want to jump onto the merry go-round while its spinning. In what way...
Homework Statement
The Moon’s nearly circular orbit about the Earth has a radius of about 385 000 km and a period T of 27.3 days. Determine the speed of the Moon. Determine the magnitude and direction of the Moon’s acceleration.
Mark Criteria: A)determining the correct period of motion in...
1. The problem
The answer is A.
Homework Equations
x = Acoswt
y = Asinwt
The Attempt at a Solution
C is not correct because the x & y positions are in terms of sin & cos, so the acceleration can't be constant.
D is not correct because x & y are oscillating in value.
E is not correct because...