Problem 4 A uniform solid spherical ball of mass M and radius R rests on a horizontal surface. Assume a constant coeffi...
A uniform solid sphere with a mass M = 2.0 kg and a radius R = 0.10 m is set into motion with an angular speed ωo = 70 rad/s. At t = 0 the sphere is dropped a short distance (without bouncing) onto a horizontal surface. There is friction between the sphere and the surface. Find (a) the angular speed of rotation when the sphere finally rolls without slipping at time t = T and (b) the amount of...
A spherical bowling ball with mass m = 4 kg and radius R = 0.114 m is thrown down the lane with an initial speed of v = 8.7 m/s. The coefficient of kinetic friction between the sliding ball and the ground is ? = 0.32. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1) What is the magnitude of the angular acceleration of the bowling ball as it slides down...
help 8) A uniform hollow spherical ball of mass 1.75 kg and radius 40.0 em is rolling up a ramp that rises at 30.0° above the horizontal. Speed of the ball at the base of the ramp is 8.20 m/s. Moment of inertia of hollow sphere is given by I-(2/3)m r. (a) What is the angular velocity of the ball at the base of the ramp? (b) Determine how far up the ramp does it roll before it starts to...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
1) A solid ball of mass M and radius R rolls without slipping down a hill with slope tan θ. (That is θ is the angle of the hill relative to the horizontal direction.) What is the static frictional force acting on it? It is possible to solve this question in a fairly simple way using two ingredients: a) As derived in the worksheet when an object of moment of inertia I, mass M and radius R starts at rest...
A spherical bowling ball with mass m = 3.3 kg and radius R = 0.111 m is thrown down the lane with an initial speed of v = 8.9 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.29. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1)What is the magnitude of the angular acceleration of the bowling ball as it slides down the...
A spherical bowling ball with mass m = 3.8 kg and radius R = 0.106 m is thrown down the lane with an initial speed of v = 8 m/s. The coefficient of kinetic friction between the sliding ball and the ground is p = 0.33. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1) What is the magnitude of the angular acceleration of the bowling ball as it slides down...
The figure on the right illustrates a ball which is a uniform solid sphere having mass M and radius R. The ball is initially traveling in the positive direction with pure translational motion along a friction-less region of a horizontal surface (i.e. it slips with angular speed ω0-0). The initial translational speed of the ball is Vo. The friction-less region extends to a region having coefficient of kinetic friction Figure for WAH #10 V. Friction Friction-less No longer slipping '...
Problem 4. A solid sphere of mass m and radius rrolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/5 mr. The ball should...
A solid uniform spherical ball of mass 2.0 kg and radius 0.50 m rolls without slipping down a ramp that makes a 15 degree angle with the horizontal. What is the center-of-mass speed (in m/s) of the ball after it rolls 0.50 m down the ramp? A) 1.8 B) 2.5 C) 4.5 D) 7.0 E) None of these