IV. A uniform solid ball with mass M and radius R rolls alone a horizontal surface with a constant speedv. (center of mass) before reaching a 30° ramp. The ball then rolls up to the ramp. Suppose the ballrolls smoothly without slipping. Find out the maximum distance on the ramp the ball can go (Hint:use principal of conservation of mechanical energy), The moment of inertia of a solid ballisl, = MR30°

The moment of inertia of the solid ball I=25MR2Where, M is the mass of the ball and R is the radius…

Answered: IV. A uniform solid ball with mass M…

Similar questions

A uniform solid ball rolls without slipping down a plane which is inclined at 31° to the horizontal. If the ball has a radius r=0.4m, a mass m=0.1 kg and starts from rest, find: a) the speed of the ball after it travels 2m down the incline. b) at this point, what is the angular momentum of the ball? c) If the coefficient of friction between the ball and the plane is 0.25, what is the maximum angle of inclination that allows the ball to roll without slipping?
h A solid sphere rolls without slipping down an incline. At the top it is at rest. What is the linear speed at the bottom? Parameters: ] mass = m = 4.3 kg; angle of the incline height of the ramp = h = 1.10 m; horizontal length of the ramp = L = 3.02 m. (in m/s) = 20 degrees; A: 3.356 OB: 3.926 OC: 4.594 OD: 5.375 OE: 6.288 OF: 7.357 OG: 8.608 OH: 1.007x10¹
A solid metal disk with moment of inertia I, radius R, and mass m1 can rotate freely about a frictionless axis passing through its center. A light string is wrapped around the disk and connects to a hanging mass m2. The hanging mass is released from rest at a distance d above the ground and accelerates downward with acceleration awhile the disk rotates through an angle q. a) Find an expression for the angular accelerationaof the diskin terms of m2, I, R, and any necessary constants. b) Find an expression for the time it takes for the hanging mass to reach the ground. Write your answer in terms of q, a, and any necessary constants. c) Find an expression for the angular velocity of the disk just before the hanging mass hits the ground. Write your answer in terms of q, a, and any necessary constants.
DETAILS SERCP11 7.3.P.012. A 40.0-cm diameter disk rotates with a constant angular acceleration, of 2.70 rad/s. It starts from rest at t, 0, and a lipe drawn from the center of the disk to a point Pon the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t 2.43 s, find the angular speed of the wheel. rad/s (b) At - 2.43 s, find the magnitude of the linear velocity and tangential acceleration of P m/s m/s? linear velocity tangential acceleration (c) At t 2.43 s, find the position of P (in degrees, with respect to the positive x-axis) counterclockwise from the +x-axis Need Help? Read
W; = 0 %3D Wf initial final A flywheel consists of a thin uniform disk of mass m and radius R, free to rotate about a frictionless central axle. A small weight, also of mass m, is attached to the wheel's rim. The is wheel is held at rest (left), the small weight level with the axle, then released. What is the angular velocity of the wheel when the weight reaches its lowest point? 4g V 3R 8g V 5R 3g V 2R V28R 2gR
In the rotational motion experiment, a student wanted to measure the moment of inertia I of a disc, If he found out that the torque acting on the disc to be 2.7 N.m and the angular acceleration to be 21.01 rad/s?, find the moment of inertia ( in units of kg. m²) of the disc. Select one: O A. 0.129 B. 0.231 O c. 0.090 O D. 0.064 O E. 0.193
Computation. A uniform solid sphere has mass M = 8.9 kg and radius R = 0.2 m. What is its moment of inertia about an axis tangent to its surface? I- 2 kg .m² Record your your numerical answer below, assuming three significant figures. Remember to include a as necessary.
An 8.00-cm-diameter, 370 gg solid sphere is released from rest at the top of a 1.50-m-long, 20.0 ∘∘ incline. It rolls, without slipping, to the bottom. What is the sphere's angular velocity at the bottom of the incline? Express your answer with the appropriate units.