Question

In: Physics

A uniform solid cylindrical log begins rolling without slipping down a ramp that rises 15.0 ∘...

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?

Solutions

Expert Solution

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

-----------

Moment of inertia of solid cylinder,

and angular velocity,

------------

=========

Given that the log starts from rest

so

Use formula to find acceleration

ANSWER :

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