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Q. 90

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 335

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Short Answer

A 75 g, 30-cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 10 g ball of clay traveling horizontally at 2.5 m/s hits and sticks to the very
bottom tip of the rod. To what maximum angle, measured from vertical, does the rod (with the attached ball of clay) rotate?

The maximum angle will be 67o

See the step by step solution

Step by Step Solution

Step1: Given information

Mass of the axle=75 g =0.075kg
Length of the axle = 30 cm =0.3 m Mass of clay ball =10 g = 0.010 kg Velocity of the clay ball =2.5 m/s

Step2: Explanation

First draw the diagram as below to understand and solve the problem

Use the law of conservation of momentum

Initial angular momentum about O is given as ,

Initial at rest so ωi=0

Substitute the values

Momentum after ball hits

Substitute the values

Now use the law of conservation of energy

Substitute values in equation (6)

Now find the angle

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