Ball Rolling Up A Hill Without Slipping

For example let s consider a wheel or cylinder rolling on a flat horizontal surface as shown below. A ball with an initial velocity of 8 00 m s rolls up a hill without slipping. Solution by michael a.

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Rolling without slipping commonly occurs when an object such as a wheel cylinder or ball rolls on a surface without any skidding.

Ball rolling up a hill without slipping. Once the ball spins with the floor there s no torque on the ball because it s just rolling to the floor it seems to be still. A bowling ball rolls without slipping up a ramp that slopes upward at an angle to the horizontal see example 10 7 in section 10 3. Friction is just weird like that. Again if it s a cylinder the moment of inertia s 1 2mr squared and if it s rolling without slipping again we can replace omega with v over r since that relationship holds for something that s rotating without slipping the m s cancel as well and we get the same calculation.

A draw the free body diagram for the ball. Roll without slipping a uniform solid ball is placed at rest on an incline of slope angle θ. Treat the ball as a uniform solid sphere ignoring the finger holes. Mit 8 01 classical mechanics fall 2016 view the complete course.

What is the minimum value µ 0 of the coefficient of static friction between ball and incline so that the ball will roll down the incline without slipping. A ball rolling uphill. B repeat the calculation for the same ball if it slides up the hill without rolling. This cylinder again is gonna be going 7 23 meters per second.

Explain why the friction force must be directed uphill. To define such a motion we have to relate the translation of the object to its rotation. µ coefficient of friction between ball and incline. But as the ball is spinning up and the slipping is slowing down the force on it remains the same.

Treating the ball as a spherical shell calculate the vertical height it reaches.