Homework Statement
An inclined plane, fixed to the inside of an elevator, makes a 32 degrees angle with the floor. A mass m slides on the plane without friction. What is its acceleration relative to the plane if the elevator accelerates upward at 0.50g?
Homework Equations
F = ma
The Attempt...
I know there are many factors that go into this. But in general how would one go about calculating the angular velocity for a car going up an incline. What I want to know in particular is if a car say is driving at a consistent speed of 60mph on an even plane and then hits an incline up wards at...
Hello folks. After a while lurking I've finally got a problem that I need some help with!
1. Homework Statement
I'm designing an adaptor for a drinks optic and have translated one of the aspects of the design into the following problem. There is plenty of stuff on the net about simple...
Homework Statement
An m1 = 7.6 kg block and an m2 = 10.7 kg block, connected by a rope that passes over a frictionless peg, slide on frictionless incline. Find acceleration of boxes and tension of the rope.
Homework Equations
F=ma
I'm not sure what else
The Attempt at a Solution
I'm really...
Homework Statement
A cylinder on a inclined plane is rolling without slipping. Inclined plane is connected to wall with a spring and cylinder is connected to wall with a spring too. All frictions will be neglected, and all the given data has shown on the image below.
As seen above, k2 spring...
Homework Statement
The record speed for grass skiing was set in 1985 by Klaus Spinka, of
Austria. Suppose it took Spinka 6.60 s to reach his top speed after he
started from rest down a slope with a 34.0° incline. If the coefficient of
kinetic friction between the skis and the grass was 0.198...
If I have a ramp that is 1.143 meters long, and I need to make it incline at a certain angle and height to make sure the acceleration is .5 m/s^2, how would I go about doing that without taking friction into account and without weighing anything?
Homework Statement
1st example:
A 10 kg block is pushed up a ramp at a constant speed of 5.7 m/s. The ramp makes an angle of 30 degrees to the horizontal and the ramp is frictionless. The block is released and allowed to slide up the ramp until it stops. What is the magnitude of the...
Why would the coefficient of kinetic friction be larger for an inclined plane versus a horizontal plane?
Would it be related to the material? I thought initially it was something to do with the force of gravity… but apparently that's not it :(
Thanks so much in advance!
Homework Statement
A block of mass m is held in place on a ramp of mass M with a slope of angle θ, which in turn is held in place as shown in the figure below. The ramp is free to move on the surface beneath it. There is no friction anywhere. The block and the ramp are then released. Derive an...
Homework Statement
A block with a mass of 1.137 kg is placed at the top of an inclined plane. The plane is d = 2.592 m long. The angle θ the plane makes with the horizontal can be adjusted, changing the height of the top of the plane.
The lower half of the plane has a rough surface with...
if a ball of mass m were to strike an fixed incined plane of 45degress with velocity of 3m/s, and was rebounded horizontally, what would be the velocity of the rebounded ball.(elastic collision). this the method i have tried.
momentum of the system along the x-axis is conserved.therefore...
When resolving all of the VERTICAL forces in a block that is being pushed up an incline with some incline amount theta, then when PUSHING with force P at an angle of alpha on the block, then the vertical component of force P is sin (alpha) * P in the downward direction (opposite of the Normal...
Homework Statement
A cylinder of mass M and radius R, with moment of inertia:
I_c = \frac{1}{2}MR^2
rolls down without slipping through an inclined plane with an angle of θ, while pulling a block of mass Mb with an attached frame (of insignificant mass) which is connected to the axis of...
Homework Statement
A block takes 3 times as long to slide down an inclined plane that makes an angle of 30 degrees as it does to fall freely through the same vertical distance. Determine the coefficient of friction.
Homework Equations
F=μN
The Attempt at a Solution
I do not know...
Homework Statement
My last inclined plane problem has a second part to it: There are some energy problems I need to solve.
A double pulley consists of two separate pieces that are welded together; a hoop of radius 10.0 cm and a disk of radius 15.0 cm. The moment of inertia of the pulley is...
Homework Statement
A double pulley consists of two separate pieces that are welded together; a hoop of radius 10.0 cm and a disk of radius 25.0 cm. The moment of inertia of the pulley is 0.160 kg-m^2. A 15.0 kg block (m1), on a 35.0° incline, is attached to the outer pulley by a massless...
Homework Statement
A block is placed on a plane inclined at an angle θ. The coefficient of friction between the block and the plane is µ = tan θ. The block is given a kick so that it initially moves with speed V horizontally along the plane (that is, in the direction perpendicular to the...
Problem: a 1200-N go-cart is being pulled up a 25 degree incline by a rope that makes an angle of 35 degrees with the horizontal. Neglecting all frictional effects, determine the tension in the rope necessary to pull the cart up the incline at a constant speed
Relevant equations:
Sum of the...
Homework Statement
I've been stuck on this problem for hours now. I know it has to be somewhat simple, but I am not too great in physics, so I am asking for help on how to complete this problem.
Two blocks are positioned on surfaces, each inclined at the same angle 50 degrees with respect...
Homework Statement
A skier, mass m = 85 kg including skis, poles and clothes, skis directly down a slope with an angle Φ = 21° to the horizontal. His body is rigid, the poles are not touching the snow. He is traveling at a constant speed of 71 kph in a straight line. The coefficient of...
Consider the configuration below shown in the attached picture!
The wedge can slide on the inclined plane and the cube on the wedge.Their motion is described by x_1 and x_2 respectively. There is no friction and the inclined plane doesn't move.
Here's the Lagrangian of the system...
Homework Statement
A block of mass m=18kg is pushed horizontally with a force of Fp=150N up an inclined plane of angle θ=32° and coefficient of friction of μ=0.10, a distance of x=5m. a) What is the work done by Fp. b) Work done by the gravitational force. c) Work done by the normal force...
two cylinder conected, by two roads, rolling down an inclined plane. Find equation of motion and tension of roads.
I know that the lagrangian is:
0.5 m \dot{x}^2+0.5 I_1 \dot{\theta}^2++0.5 I_1 \dot{\theta}^2+mgx\sin \alpha + mg(x+l)\sin \alpha
¿ is good my lagrangian?, ¿how is present...
My question and attempted solution are in the pics below...not sure if what I did was correct though :/
I was thinking that the work done would have been equal to PE+Change in KE + Energy Lost to friction...but not sure how to calculate the energy lost to friction as I'm not sure if it has to...
Homework Statement
A cyclinder of mass m and radius r is rotated about its axis by an angular velocity ω and then lowered gently on an inclined plane as shown in figure. Then:
(a) It will start going upward.
(b) It will first go up and then downward.
(c) It will go downward just after it is...
Homework Statement
A block slides down an inclined plane of slope angle (theta) with constant velocity. It is then projected up the same plane with an initial speed v(knot).
(a) How far up the incline will it move before coming to rest?
(b) Will it slide down again?
Homework...
When rolling on a flat floor when the velocity at the circumference equals the velocity at the centre of mass the friction stops acting right? SO why does't that happen when it is rolling down an inclined plane? If it is rolling shouldn't the point in contact with the inclined plane be...
This is driving me nuts. What am I missing?
Suppose you have an inclined plane with a mass m resting on it. The free body diagram for the mass m has F_grav downward and F_normal perpendicular to the surface of the inclined plane. Thus, by Newton's Second Law, you have:
∑F=F_grav+F_norm=ma with...
Homework Statement
10kg block on a inclined plane (32degrees) (frictionless) and an applied force 120N horizontally. What is acceleration?
Homework Equations
Fnet = ma
The Attempt at a Solution
mgsin32 = 51.9N (from mg)
From applied force, in the same plane, we have xcos32=120...
1. Hi,
I'm a computer engineering graduate. I'm developing a computer game similar to Soundrop (Apple). The situation is: balls fall vertically down under the effect of gravity. There are various inclined planes in the frame (of known angle of inclination). There could be multiple...
Homework Statement
What is the mechanical advantage of a staircase that is 10 meters long (horizontally) and 5 meters high (vertically)?
Homework Equations
MA=Length/Height
The Attempt at a Solution
MA=2.2
I'm certain that this is the answer my teacher is looking for, but it...
Homework Statement
A 1.00-kg aluminum block and a 4.00-kg copper block are connected by a light string over a frictionless pulley. The two blocks
are allowed to move on a fixed steel block wedge (of angle 31.0°). The aluminum block is on the left side, on a flat plane. On the right is the...
I understand the derivation that on an inclined plane of angle θ, the acceleration of the object on the plane, parallel to the plane, is a=g*sinθ. However, I was just thinking about it, and should it not be a=g/sinθ ?
I got this because sinθ = g/a. θ is the angle between the ramp and the...
I am stuck on a problem from the 5 Steps to a 5: AP Physics B&C book and would really appreciate anyone's help.
Homework Statement
Determine (a) the acceleration of the block down the plane and (b) the time for the block to slide to the bottom of the plane...
Hello Friends, I am not able to solve a problem of my textbook
A block of mass m slides on a inclined plane of mass M, then What is the velocity of inclined plane when mass m reaches the ground ? ("All surfaces are friction less and the height of inline plane is H and the angle of inclination...
When an iron ball is allow to roll down the inclined plane such that magnet is fixed at the bottom of plane then rolling ball is attracted towards the magnet. But if two iron balls all allow to roll down then they stop in between on plane. Why
Homework Statement
I'm asked to solve the typical intro level box on an inclined plane problem but I need to do it using the lagrangian.
My difficulty with it is that the axis I am required to use are not the typical axes used when solving this using Newtonian mechanics. Instead of the...
Homework Statement
There's no specific problem statement but I have to explain how I would find out the coefficient of kinetic friction given the angle (θ) of the inclined plane and mass of the object sliding down, nothing else.
Homework Equations
ƩF = ma
μk = Fk (kinetic friction) / Fn...
Homework Statement
There is a wire (current I = 1.05 A) that splits into two channels; of resistance R2 = 6.60 and R1 = 1.25 , and re-joins, forming a current in the shape of an isosceles triangle with base distance d = 6.90 cm and height L = 14.0 cm. The loop is entered into the space between...
Homework Statement
Burglars are pushing, with a horizontal force Fpush, a safe of mass m and coefficient of kinetic friction μk up a slope of angle θ. What is the safe's acceleration (in abstract terms)?
Homework Equations
a[SUB]s= +/-gsinθ (natural accl down a slope)
friction on a...
Homework Statement
Scroll down for pic related
Determine the tension
in the cable P that will give the 50 kg block a steady accelerationof 2.0 m/s^2 up the incline.
Homework Equations
Where am I going wrong?
The Attempt at a Solution
Let Fa=force applied
I calculated the...
Homework Statement
A particle of mass m slides on the surface of a plane inclined at an angle θ to the horizontal. The plane itself has a mass M and is allowed to slide on a horizontal surface (such that θ remains constant). There are no frictional forces.
(i) Write equations of motion for the...
Homework Statement
You are helping a friend move, and you need to load a 2.65x10^2 kg box of books. You slide the box up a ramp, which has an incline of 30 degrees and a coefficient of static friction of 0.45. You apply the force on the box at an angle of 39 degrees with respect to the ramp...
Hi friends,
I have an issue in solving a Collision of ball with inclined plane.
Please Help me in solving this.
Thank you all in advance.
The problem is as:
https://fbcdn-sphotos-a-a.akamaihd.net/hphotos-ak-frc3/q71/s720x720/1379765_1432382863655486_1628611844_n.jpg
Attempt...
W = fd
The answer is 8. The solution manual says work is the same for either scenario, d = 4 or d = 0.5
From this assumption I can see that by increasing distance from 0.5 to 4, you reduce the force necessary by a factor of 8.
However what I cannot comprehend is: where does the assumption...
Homework Statement
Here is an illustration to ease understanding:
Angle inclined plane: θ = 20.0°
spring of force constant k = 525 N/m
block: m = 2.71 kg
distance of block from spring: d = 0.330 m
speed of block: v = 0.750 m/s
By what distance is the spring compressed when the block...
Homework Statement
Two blocks are connected by a thin inextensible string over a frictionless massless pulley
as shown on the picture below
The acceleration of gravity is 9.8 m/s2
Given that the two blocks move at 1.9 m/s
under an acceleration of 4.1 m/s2,
calculate the coefficient µk...
Homework Statement
a block with a mass of 0.310kg at a constant velocity , calculate the coefficient of kinetic friction on an incline plane
Homework Equations
f=ma
fg=mg
fparallel= mg* sin30 degreesThe Attempt at a Solution
I found the FN which is 2.60 and the f parallel to be 1.52. i...