Q. 90

Expert-verifiedFound in: Page 335

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

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 67^{o}

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

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 ω_{i}=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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