Homework Statement
The angle of the ramp is 30 degrees. The mass is 40 kg. What force must be applied to keep the mass sliding down the ramp at constant velocity. The ramp is frictionless*
Homework Equations
I have missed the past few lessons in class, so I'm not sure. I do have a bunch of...
Homework Statement
Galileo in seeking to discover the laws governing the motion of bodies under the action of their weight, conducted a series of experiments on inclined planes. Choosing as unit of length the distance traveled by the ball the first unit of time, measuring at subsequent time...
Homework Statement
There is no variable for it but we know the angel σ, g, the mass of m1 and m2, m2>m1 and the coordinate system must be considered like that. I know the other method which the coordinate system is parallel to the inclined plane's hypotenuse.
Homework Equations
F=m*a...
Homework Statement
A 38kg block is on a slope that is 50 degrees above the horizon. The box is attached to a 9kg weight that rests on a flat surface (connected to the top of the slope). The coefficient of friction for both surfaces is 0.12. Calculate the acceleration of the system...
I've got the following exercise, which I've done 3 times already and I think I haven't made any mistake:
A body is slid upwards through an inclined plane of angle \theta=15\degree. Determine the friction coefficient of the body with the surface of the plane if the time it takes to go upwards t_a...
1.A block of mass 10 kg is resting on a frictionless ramp. The ramp is free to slide on a horizontal, frictionless table and has a mass of 40 kg. The angle of the ramp is 37 degrees.
A. Draw a free body diagram for the block and for the ramp. Clearly labeling all forces. Write down the...
Homework Statement
A 2.5 kg block is placed on a movable 40° ramp weighing 120 N. The friction
coefficients between the ramp and the block are μk = 0.15 and μs = 0.35. With what
force does the ramp need to be pushed to keep the block
a) sliding at a constant speed up the ramp
b)...
Homework Statement
A block of mass 10kg moves along a surface inclined 30° to the horizontal. The centre of
gravity of the block is elevated by 3m and the kinetic energy of the block decreases by 50J.
The block is acted upon by a constant force Rparallel to the incline and by the force of...
Homework Statement
A block of mass m1 is placed on an inclined plane with slope angle a and is connected to a second hanging block of mass m2 by a cord passing over a small frictionless pulley the coefficient of kinetic friction is uk the system is released from rest with block m2 dropping a...
Homework Statement
A 3.6 kg block slides down an inclined plane
that makes an angle of 27
◦
with the horizontal.
Starting from rest, the block slides a distance
of 2.4 m in 6.2 s.
The acceleration of gravity is 9.81 m/s
2
.
Find the coefficient of kinetic friction between the block and...
Homework Statement
A crate, mass = 275 kg, sits at rest on a surface that is inclined at 20.0° above the horizontal. A horizontal force (parallel to the ground), F = 583 N is required to just start the crate moving down the incline.
2. The attempt at a solution
U = (((mg sin (∅)) +...
A 2319kg car is moving down a road with a slope grade of 11% and slowing down at a rate of 3.8m/s^2.Find the direction and magnitude of the frictional force ( define positive in the forward direction ie down the slope)
So the equation I have is f= ma+ mgsinθ. For my angle I get...
Homework Statement
We let a ball with mass m to slide down under the influence of his weight the path defined by the chord or the path defined by the arc of the circle until the ball reach the lowest point, as it seems from the picture. In which path the ball will make the shorter time to...
7. A block of mass m = 5.5 kg is pulled up a θ = 22° incline as in the figure with a force of magnitude F = 38 N.
(a) Find the acceleration of the block if the incline is frictionless
So I got this one right, and here is what I did...
From the free body diagram I drew:
Fnet = (38...
Homework Statement
Solve for g in terms of d, t, and theta on an inclined plane.
Homework Equations
Fnet=ma and d=Vit + .5a*t^2
The Attempt at a Solution
Solving for a on an inclined plane I get g*sin theta.
Using the equation for constant acceleration d=Vit + .5a*t^2 I solve...
A small ball is launched from the corner of an inclined plane. When the inclination of the plane θ is 70° the max range of the projectile is 50 cm. Later the inclination of the plane changes to a new unknown angle and the same projectile launcher is oriented at 30° to the horizontal line. The...
There is a box of mass m on a wedge of mass M with angle θ (the triangle also has a angle of 90 degrees). I need to find the force applied on the little mass, this is what I got:
F=-mgsinθ+Mgsinθ
Where the first term refers to the force of gravity applied to the mass m and the second term...
Homework Statement
Two bodies are acting on one another on an inclined surface. Assuming a constant vertical input force and the lower body being vertically fixed in place on the right hand side, what will the angle of the inclined surface affect. In essence, will the vertical component of...
Homework Statement
What are the directions of my forces acting on mass m with respect to my "m" frame (see attachment)?
Homework Equations
some trig and transformations maybe...
The Attempt at a Solution
I know I only have tension, weight, and a normal force acting on my particle but I...
Homework Statement
(there's a diagram that shows a crate on a plane inclined 19.29° above the horizontal)
Find the coefficient of kinetic friction.
θ = 19.29°
mcrate = .205 kg
Homework Equations
Ff = FN*μk
Fg = mg
FN = cosθ*mg
The Attempt at a Solution
I drew out a free-body diagram for...
Homework Statement
Please see attachment.
When θ = 0, mass m is at the bottom of the inclined plane.
If I create a frame at origin O, with axes along the bottom of the plane and the dotted line (as shown in the picture), will my magnitude of the vector from O to A (along the dotted...
Homework Statement
Starting from rest , a body slides down a 45° inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is ,
a)0.275
b)0.75
please answer with working...
If you have a tube and a solid cylinder of the same dimensions and density and rolled them down an inclined plane the 'tube' would cover the same distance in less time?
Homework Statement
A 60-N block rests on a 35 degree inclined plane. Determine the normal force and find the friction force that keeps the block from sliding.
Homework Equations
The Attempt at a Solution
Drew the free body diagram with each vector, not sure how to figure the...
If the angle of a frictionless inclined plane 'a' is such that a=wt
where w is angular velocity and a is a function of t
and an object is sliding down that plane then...
if m is the mass of the object
m(dv/dt)=mgsin(wt)
solving for v i got
v=(-gcos(wt)/w)
Why is the velocity...
Homework Statement
An older gentleman drags a wooden crate (m = 10 kg) containing his childhood toys out of storage. The 120 N force F that he applies on the crate makes an angle of 30° with the horizontal. The coefficient of kinetic friction μk between the well-polished floor and wooden crate...
I can work out the acceleration of a block that will take along the plane when the axes are the ones along and perpendicular to the inclined plane. But, when I choose a horizontal and vertical axis I end up with the same mistake as this guy in this thread did...
I know that force parallel (the force of the block down the inclined plane) in this case should be mgSin(theta), but why is the derivation in the picture wrong? According to that triangle could it not be mg/(Sin theta)?
Homework Statement
Block of mass mA = 2kg - lying on frictionless inclined plane with a slope of 20 degrees.
connected to mA via frictionless, massless pulley and massless cord... mB = 3kg
http://img152.imageshack.us/img152/8286/imag0103l.jpg
Homework Equations
F= Mass *...
Homework Statement
A block is given an initial speed of 3m/s up a 22° inclined plane. How far up the plane will it go? How much time elapses before it returns to its starting point?
Homework Equations
D = 1/2at2
a = Δv/t
Vf2 = Vi2+ 2a*d
The Attempt at a Solution
The Vy is 1.12m/s...
Simply, what the title sugests, would going downhill on inclined plane be considered a simple machine? If so, how is this decreasing the amount of force needed?
Homework Statement
A box is hurled up an incline plane of 20 degrees at 10m/second. There is no friction. What is the velocity after 3 seconds. I know gravity and the sin of 20 degrees has to be factored in.
Homework Equations
v=u+at. u is initial velocity, v is velocity after 3...
Homework Statement
A cable is pulling a 200kg block up an inclined plane elevated at 30 degrees with 3.5KN of force. How fast is the block accelerating at?
θ = 30
g = 9.81
m = 200kg
μ = 0.35
F = kN
Homework Equations
F = ma
The Attempt at a Solution
Wasn't sure how to do this problem, I...
I am a stagehand and I was just doing a job yesterday involving running crates on wheels up a ramp to the loading bay. I thought it would be interesting if I could make a physics equation out of it and determine the amount of work I did.
Homework Statement
If I want to determine how much...
Homework Statement
The situation is indicated in the diagram below. Block m is at rest, and the block M has an initial velocity upward. Need to find the Lagrangian of this system, and then the Euler-Lagrange equations.
The Attempt at a Solution
This is the Lagrange that I came up with...
A wedge with face inclined at an angle theta to the horizontal is fixed on a rotating turntable. A block of mass m rests on the inclined plane and the coefficient of static friction between the block and the wedge is μ. The block is to remain at position R from the center of the turntable, as...
Hi guys
can you help me with this question? any hint is helpful..
an object of weight of 10 kg is to be raised 2 m off ground. there's an inclined plane for it with a freely chosen angle. How much work must be applied for the plane with 0.5 friction when after 1 m , the object its...
Homework Statement
A solid sphere of mass 3.00 kg and radius 12.5cm rolls without slipping down an incline of
angle 13.5 degree for 250 m. Find the minimum coefficient of static friction required for a
rolling without slipping. What is the velocity of the center of the sphere at the bottom...
1.) if there are two blocks of different masses rolling down an inclined plane, will their velocity be same? if so then how? there's no friction between the plane and the blocks.
2.) there is a plastic boat in a tub, filled with metal rods. if the metal rods are taken out of the boat and put...
Homework Statement
A 3.0kg solid cylinder (radius=.15m, length=.7m) is released from rest at a top of a ramp and allowed to roll without slipping. The ramp is .9m high and 5m long. Find the rotational and translational kinetic energy.
Homework Equations
krot=1/2Iw^2
Ktrans=1/2mv^2...
A Black Garden Ant is seen dragging a caterpillar with mass = 1.5g = .0015 KG
the ant manages to accelerate the caterpillar at 1mms^-2
Assume that friction between the caterpillar and the ground can be ignored.
(a) What force has the ant applied to cause this acceleration?(b) The ant bites...
This is an even-numbered problem in my textbook that I'm looking at early though it hasn't been taught by my lecturer yet, because I need to know the concepts underlying it for a similar problem. Cld someone help me?
Homework Statement
Consider the case of a hollow cylinder rolling down a...
*****Homework Statement ****
Two blocks, A and B, are sliding down an inclined (20 degrees) plane. Block A is sliding in front of block B with both of them touching. The blocks slide from a distance of 6.50m from the bottom (along the inclined plane, not the surface the plane rests on)...
Homework Statement
Boom-Boom Slapshot, Canadian hockey star, slides down a 50m long ice covered hill on his skates. The frictionless hill is inclined at 35° to the horizontal. Once he reaches the bottom of the hill, the ice is covered with deep snow that has a coefficient of kinetic friction...
Homework Statement
Mass M1 (6.58 kg) is on a rough inclined plane that makes an angle θ = 59o with the horizontal. The coefficient of kinetic friction between M1 and the incline is μk = 0.18. A rope is attached to M1, passes over a frictionless pulley, and is attached to mass M2 = 7.30 kg...
Homework Statement
A 900 kg car goes up along an inclined road by 30 degrees characterized by an acceleration of 0.25 m/s^2. If friction coefficient is 0.5, find the magnitude of the force that moves the car.
Solution: F = 12285.6 N
Homework Equations
The Attempt at a Solution...
Newton's third law states that with every force, there is an equal and opposite reaction and these forces will act on mutually opposite bodies.
However, when an object is resting on an inclined planed, the normal force is not directly opposite of the weight so doesn't this defy Newton's third...
Homework Statement
coefficient of kinetic friction = 0.15
Find the acceleration of block a.
Homework Equations
see below
The Attempt at a Solution
http://www.wolframalpha.com/input/?i=-200sin30%2B0.15*200cos30%2B2x%3D-200%2F32.2*a%3Bx-40%3D40%2F32.2*b%3Ba%3D0.5*b
I used x for...
Hey,
Imagine a frictionless inclined plane situation where the ramp goes up and to the right.
If we put an object on it with any mass m, would it be fair to say that both of the components of the weight are negative? My reasoning is that the x component causes acceleration to the left and the...