Question

A uniform solid cylindrical log begins rolling without slipping down a ramp that rises 15.0 ∘ above the horizontal. After it has rolled 4.50 m along the ramp, what is the magnitude of the linear acceleration of its center of mass?

Answer 1

First, find the vertical distance covered

Consider the incline

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When the log rolls, initial potential energy is converted to rotational kinetic energy and translational kintic energy

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Moment of inertia of solid cylinder,

and angular velocity,

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Given that the log starts from rest

so

Use formula to find acceleration

ANSWER :

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