Momo with mass m is sliding down an inclined plane that makes an angle o re to the horizontal. The coefficient of kinetic friction between Momo and the incl plane is µk. Obtain an expression for Momo's acceleration along the incline. Assign a rotated Cartesian plane so that the acceleration is along the positive > and the normal force is along the positive y-axis. The component of the weight parallel to Momo's acceleration is wx = mg Ф. The magnitude of the frictional force is f = uk The normal force on Momo is n = mg Ф. With these expressions and applying Newton's second law, we arrive at an expression for Momo's acceleration:

Momo with mass m is sliding down an inclined plane that makes an angle o re to the horizontal. The coefficient of kinetic friction between Momo and the incl plane is µk. Obtain an expression for Momo's acceleration along the incline. Assign a rotated Cartesian plane so that the acceleration is along the positive > and the normal force is along the positive y-axis. The component of the weight parallel to Momo's acceleration is wx = mg Ф. The magnitude of the frictional force is f = uk The normal force on Momo is n = mg Ф. With these expressions and applying Newton's second law, we arrive at an expression for Momo's acceleration:

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 64P: If a single constant force acts on an object that moves on a straight line, the objects velocity is...

See similar textbooks

Similar questions

A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 2.00 s.
A sleigh is being pulled horizontally by a train of horses at a constant speed of 8.05 m/s. The magnitude of the normal force exerted by the snow-covered ground on the sleigh is 6.37 103 N. a. If the coefficient of kinetic friction between the sleigh and the ground is 0.23, what is the magnitude of the kinetic friction force experienced by the sleigh? b. If the only other horizontal force exerted on the sleigh is due to the horses pulling the sleigh, what must be the magnitude of this force?
Two objects, m1 = 3.00 kg and m2 = 8.50 kg, are attached by a massless cord passing over a frictionless pulley as shown in Figure P5.51. Assume the horizontal surface is frictionless. a. Draw a free-body diagram for each of the two objects. b. What is the tension in the cord? c. What is the magnitude of the acceleration of the two objects? FIGURE P5.51 Problems 51 and 65.
A crate of weight Fg is pushed by a force P on a horizontal floor as shown in Figure P4.83. The coefficient of static friction is s, and P is directed at angle below the horizontal. (a) Show that the minimum value of P that will move the crate is given by P=sFgsec1stan (b) Find the condition on in terms of , for which motion of the crate is impossible for any value of P. Figure P4.83
the coefficient of static friction between block A and a horizontal floor is 0.320, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00kg,and they are connected together by a cord. If a horizontal force F pulling on block B is slowly increased ,in a direction parallel to the connectin cord,until the block start sliding ,what is the magnitude of F at the instant that they start to slide?
In Fig, a block of mass m =5.00 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F =12.0 N at an angle θ=25deg. (a) What is the magnitude of the block’s acceleration? (b) The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor? (c) What is the magnitude of the block’s acceleration just before it is lifted (completely) off the floor?
Two forces, F1=20 N and F2=10 N, are acting on a block of mass 5kg sitting on a horizontal surface with coefficient of kinetic friction k = 0.17. The block moved to + x-axes, what is themagnitude of: a) the normal force? b) the friction force? c) the net force on the block? d) the resulting acceleration of the block?
A ball of mass m1 = 4.0 kg and a block of mass m2 = 3.0 kg are attached by a lightweight cord that passes over a frictionless pulley of negligible mass. The block lies on an incline of angle 25o which has a coefficient of kinetic friction μk=0.20, while the ball hangs down over the pulley. As the block slides up the incline, find: a) the magnitude of the block’s acceleration b) the tension in the cord
The forces acting on the sailplane are its weight W = -500j (lb.) , the drag D = -200i + 100j (lb.), and the lift L. The sum of the forces W + L + D = 0. Determine the composnents and the magnitude of L.
The coefficient of static friction between block A and a horizontal floor is 0.470, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00 kg, and they are connected together by a cord. If the horizonta force F pulling on block B slowly increased, in a direction parallel to the connecting cord, until the blocks start sliding, what is the magnitude of F at the instant that they start to slide?
A block is being pulled by a rope up the surface of an inclined plane at constant velocity. Which of the following is true of the tension in the rope T, the force due to friction Ff, and the component of the block’s weight parallel to the plane wp?
f the mass of the box is 2.55 kg, the angle of the incline is 40o, and the coefficient of static friction, , between the crate and the incline is 0.37, rank the forces according to their magnitudes. Prompt 1The weight of the block Answer for prompt 1 The weight of the block Prompt 2The Static Friction Force between the block and the ramp Answer for prompt 2 The Static Friction Force between the block and the ramp Prompt 3The Normal Force between the block and the ramp Answer for prompt 3 The Normal Force between the block and the ramp Prompt 4The Tension in the string