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Q.69

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 158

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Short Answer

Problems 69 show a free-body diagram. For this:

a. Write a realistic dynamics problem for which this is the correct free-body diagram. Your problem should ask a question that can be answered with a value of position or velocity (such as “How far?” or “How fast?”), and should give sufficient information to allow a solution.

b. Solve your problem!

The speed of the assumed particle is

See the step by step solution

Step by Step Solution

Step 1: Given information from  assumptions

Consider a roller slides through a ramp of inclination angle .

The force acting on the sliding surface of the roller is

The force acting normal to the roller is

The weight of the roller is

Step 2: Resolving of forces.

Resolving forces in x-direction

Resolving forces in y-direction

Resultant force F is given by

To find the mass of the roller

To find the acceleration of the roller

To find the velocity of the roller we have

where

The velocity of the body is

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