I found the following problem on the 2009 F = ma exam.
24. A uniform rectangular wood block of mass M, with length b and height a, rests on an incline. The incline and the wood block have a coefficient of static friction, μs. The incline is moved upwards from an angle of zero through an angle...
Homework Statement
[/B]A mass m lies on an inclined surface with equal coefficients of friction μ=μs=μk. the pulley has also mass m and the weight is 2m. what is the velocity after it has descended distance h and during how much time.
Homework Equations
Moment of inertia of a massive disk...
Homework Statement
Find the equation of the tangents to the ellipse 4x^2+9y^2 = 36 which are equally inclined to the x and y-axis.
Homework Equations
Quadratic discriminant
The Attempt at a Solution
First I substituted y=mx+c into the ellipse, and determined its discriminant, and got c^2 =...
Please show me the relationship that proves how an inclined plane's angle of incline, θ, is equal to the angle used to find the components of gravity force.
I know that the angles are the same, but I'd like a way to show it.
Thanks!
Homework Statement
Homework Equations
Conservation of Energy / Virtual Work
$$\sum_i m_i g h_i = 0$$
The Attempt at a Solution
Moving the pulley I labeled A down by ##\delta y## moves ##w## down by ##\delta y##, and moves ##W## up by ##\frac{1}{2} sin\theta##.
So by conservation of energy...
1. A uniform bar AB of length 3 m and weight 40 N rests in equilibrium with the lower end A on a smooth plane inclined at an angle alpha to the horizontal, where tan alpha = 3/4 and a point C of the rod against a smooth peg. If the rod makes an angle theta with the horizontal, where tan theta =...
Homework Statement
Consider an inertial frame S with coordinates ##x^μ = (t, x, y ,z)##, and a frame S' with coordinates ##x^{μ'}## related to S by a boost with velocity parameter v along the y-axis. Imagine we have a wall at rest in S', lying along the line x' = -y'. From the point of view of...
Homework Statement
This problem asks for the angle on an inclined plane-- I have attached the problem below.
Homework Equations
fnet=ma
The Attempt at a Solution
I honestly have no idea what to do. I found the vector components for gravity and made a FBD for the box, but I can't really figure...
Homework Statement
These two problems are inclined plane problems which I cannot figure out. The problems are attached in the image below.
Homework Equations
Fnet=ma
The Attempt at a Solution
I first broke down the gravity force into its x and y components. After that, I did this...
Homework Statement
An object is on a frictionless inclined plane. The plane is at an angle of 30 degrees with the horizontal. What is the object's acceleration?
a) 0.50g b) 0.56g c)0.68g d)1.0g e)0.87g
Homework Equations
F=ma a = g.sin(theta)
The Attempt at a Solution
I set it up where...
Homework Statement
Homework Equations
W_g = mgdcos(phi)
The Attempt at a Solution
So the angle between the force doing work (x component of F_g) and the displacement (down the hill) is 0 degrees. aka phi is 0 degrees. This is true for (a), (b) and (c).
so since cos(0) = 1, the work done by...
I'm at my second year of mechanical engineering, and I do like all the theoretical stuff I'm learning (calculus, linear algebra, physics). But the problem is: when it comes down to actually build something, I find much more interesting to assemble and solder circuits than building something...
Homework Statement [/B]
Homework EquationsThe Attempt at a Solution
Honestly speaking , I have little idea about this problem . All I can think of is that since the particle is in static equilibrium , the particle has no acceleration .
So , if T is the tension in the string then resolving...
Hi again.
I hope this is the right section to ask this question.
Not home work (I'm retired) but yet another mind game I'm playing (and still getting nowhere).
I have trying to work out the formula for how a ski will perform a carved turn.
I have looked at many (many Many) websites and they...
Homework Statement
in the solution , the author gave that volume flow rate = delta P - (rho)(g)(L sin theta) ,
IMO , it's wrong ...
Homework EquationsThe Attempt at a Solution
it should be P1 - (rho)(g)(L sin theta) , where (rho)(g)(L) = P2 , correct me if i am wrong . i think so because i...
Homework Statement
Homework EquationsThe Attempt at a Solution
To bring the cylinder to a stop both linear impulse and angular impulse would be required . Linear impulse would be provided by the normal force from the plane whereas the angular impulse has to be provided by the frictional...
Homework Statement
As shown in the figure, ( a mass sliding down an incline of 60°) a car of 1000 kg mass start from the rest, it's velocity after 5s is? ( the kinetic fraction coefficient 0.1)
Homework Equations
E1=E2
K1+U1=K2+U2
E1+Wf=E2
The Attempt at a Solution
-Fk= mg cos 60 (0.1) =...
Homework Statement
In this I tried to resolve the components.
So first thing, I converted the 12kg into Newtons so it would be 117.72 Newtons. Then found the perpendicular distance which is to g: cos(30)x1 then multiply the answer by 117.2N to give the weight down as 102N. As the moment...
Note:- All surfaces given here are frictionless.
To find:-
Acceleration a
Relevant eqs:-
F = ma
Attempt at solution:-
The equations I've gotten so far:-
1) N1sin(theta) = m2a
2) m1gsin(theta) = m1a1
3) m1gcos(theta) - N1 = m1a2
So far, 3 eqs, 4 unknowns.
For the 4th eq, I did a2sin(theta) =...
Homework Statement
We have a straight bar of specific length that its edges are secured between two walls. However the bar is not parallel to the ground, but has an angle. My question is, what is the force that pushes each of the two fixed points in the walls, down?
Homework Equations
ΣF=0...
Homework Statement
A uniform beam of mass m is inclined at an angle θ to the horizontal. Its upper end (point P) produces a 90° bend in a very rough rope tied to a wall, and its lower end rests on a rough floor (see figure below). Let μs represent the coefficient of static friction between...
I want to rotate an inclined plane to achieve a flat surface.
I think I can use the Euler angles to perform this operation.
Using following data:
and following rotation matrix
I think you can make the plane flat by following rotations:
1: rotation around x-axis by 45°
2: rotation around...
Homework Statement
A warehouse worker pushes a crate of mass 24 kg up a ramp. Assume that the friction between the crate and ramp can be ignored.
a) Determine the component of gravitational force directed along the ramp's surface.
b) Calculate the force required to move the crate at a...
I have a problem with conceptualising what happens to an object as it travels down an incline slope. Online resources say that as the gradient of the slope increases the acceleration increases, but isn't this incorrect in a sense.
Shouldn't it be said that as the incline of a plane increases...
Homework Statement
I am doing my IB Physics Individual Investigation on how mass affects the stopping distance of a small cart when colliding with an open box at the bottom of an inclined plane.
I wanted to know the relationship mass has with the stopping distance, similar to how a train...
Homework Statement
A wheel consists of a circular uniform disk with a circular hole in it. The disc is
of radius R and mass per unit area ρ. The hole is of radius ro and an axle of radius ro
passes through it. The centre of the hole is offset radially from the centre of the disk by
ro. The...
Homework Statement
A skateboarder in a death-defying stunt decides to launch herself from a ramp on a hill. The skateboarder leaves the ramp at a height of 1.4 m above the slope, traveling 15 m/s and at an angle of 40° to the horizontal. The slope is inclined at 45° to the horizontal. With what...
Homework Statement
When resolving forces on an inclined plane, can anyone explain to me why 1.2g in my pic is used as the hypotenuse? It looks intuitively like it should be the opposite or adjacent.
Thanks for any help :)
Homework EquationsThe Attempt at a Solution
Homework Statement
Ball strikes inclined plane of infinite mass with velocity v vertically. Elastic collisions. Velocity and direction after collision?
One way of solving is take components along and perpendicular to inclined plane and then solve easily.
Is there any way to solve is using...
Homework Statement
A block of mass m = 2.00 kg is released from rest at h = 0.300 m above the surface of a table, at the top of a θ = 50.0° incline as shown in the figure below. The frictionless incline is fixed on a table of height H = 2.00 m.
a. Find a on the incline
a=7.51 :)
b. Find V(f)...
Homework Statement
A suitcase of mass 16 kg is placed on a ramp inclined at 15 ° to the horizontal. The coefficient of friction between the suitcase and the ramp is 0.4. Determine whether the suitcase rests in equilibrium on the ramp, and state the magnitude of the frictional force acting on...
Homework Statement
A 77.0 kg patient is suspended in a raised hospital bed as shown in the figure. The wire is attached to a brace on the patient's neck and pulls parallel to the bed, and the coefficients of kinetic and static friction between the patient and the bed are 0.500 and 0.800...
I'm not really sure where to post this. I saw that this Homework section exists even for technically non-homework (I'm designing a machine at work, but the problem is homework-esque and my fluid dynamics knowledge is rusty at best). I'm not sure if this introductory or advanced, and the template...
Homework Statement
A projectile is thrown on an inclination plane with incline angle phi with an inital velocity V0 on an angle theta. Find the range of the projectile; treat the hypotenuse of the inclined plane as the x-axis. For what value of initial velocity angle is the range maximum, and...
Homework Statement
A particle is fixed to the edge of a disc of negligible mass making an angle θ0 with the ground in a uniform gravitational field, and is free to rotate about the center of the disc. I need to find the equations of motion.
Homework Equations
The definition of the Lagrangian...
1. An object of mass m = 1 kg is initially placed on a frictionless plane, inclined by an angle θ = 30o as indicated below. How long does it take the mass to move the distance of 10 m down the incline?2. I had a question if how I solved this is correct. I got the right answer and I wanted to...
Hello everyone, I have this problem at which I don't understand the solution. So we have an inclined plane and a block of mass m standig on it , at it's highest point. Knowing the angle of the inclined plane(alpha) , the height of the inclined plane, the friction coefficient between the 2...
Homework Statement
In the figure, a 700-kg crate is on a rough surface inclined at 30°. A constant external force P = 5600 N is applied horizontally to the crate. As the force pushes the crate a distance of 3.00 m up the incline, the speed changes from 1.40 m/s to 2.50 m/s. How much work does...
Homework Statement
Solve for the forces P and N acting on an object in equilibrium on an inclined plane.
Weight=10N, angle is 30 degrees
http://blob:https%3A//www.physicsforums.com/d431a152-5681-411b-ba57-809320539165
Homework Equations
Trigonometry, i.e. sin, cos, tan rules. The 'Z' rule...
Homework Statement
A box of mass m = 40kg is released from rest at thte top of a frictionless ramp. The ramp makes an angle theta = 45 degrees to the horizontal. After sliding fom the rigin a distance d = 2.00 m down the ramp, the box strikes a spring of force constant k = 500 N/m. The box...
This is not a specific problem. It pertains to all the problems I'm working on and only requires that I have one concept explained.
If an object is being pulled up a plane by a force parallel to the plane, does the friction work against the parallel component of the gravity or the force pulling...
A solid sphere and a hollow one of same mass and radii are rolled down a rough inclined plane.
Which of the following is true?
(A) solid sphere reaches bottom with greater speed.
(B) solid sphere reaches the bottom with greater kinetic energy.
( I know that option A is correct.Thus I felt that...
Hello! I just need someone to check my work here. I already turned in the homework with my hunch, but now I just want to check my work because it is killing me not knowing 100% :) I am having strong conflicting thoughts on particular parts and thought I'd post it here for clarification. I will...
Suppose we have an inclined plane and 2 wheels. Both wheels have the same mass M but different radius R.
So the only difference is that one is bigger than another. We put both wheels on the top of the inclined plane. They are in the same position, and then we let them go. I know that the wheel...
Homework Statement
A block is projected up a 30° slope at 4m/s. When it is moving the coefficient of friction is 0.3. When the block is stationary the maximum coefficient of friction is 0.5.
a. Calculate how far up the block will go.
b. Show that the block will not remain there.
c. Calculate...
According to Newton's 3rd law, for every force there's an equal opposing force. Since a block is sitting on an inclined plane, wouldn't that mean the static friction is acting like the opposing force for mgsinθ thus, mgsinθ=static frictional force? Please respond
Homework Statement
A lab I've performed was measured using forces. As the mass increases, the force does as well. The inclined plane is at an angle of 30 degrees. Now, finding the coefficient, should the kinetic and static friction be decreasing on a plane? I've measured the frictions on a flat...
Homework Statement
A block of mass ##M = 1 kg## is placed of a fixed rough incline of inclination
##\theta=sin^{-1} \frac{7}{10}## and coefficient of friction ##\mu=\frac{1}{\sqrt{51}}##. It is connected to a spring of spring constant 100 N/m. Initially the spring is in natural state with...