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A small 650-gram ball on the end of a thin, light rod is
Chapter 2, Problem 29P(choose chapter or problem)
Problem 29P
A small 650-gram ball on the end of a thin, light rod is rotated in a horizontal circle of radius 1.2 m. Calculate (a) the moment of inertia of the ball about the center of the circle, and (b) the torque needed to keep the ball rotating at constant angular velocity if air resistance exerts a force of 0.020 N on the ball. Ignore the rod’s moment of inertia and air resistance.
Questions & Answers
QUESTION:
Problem 29P
A small 650-gram ball on the end of a thin, light rod is rotated in a horizontal circle of radius 1.2 m. Calculate (a) the moment of inertia of the ball about the center of the circle, and (b) the torque needed to keep the ball rotating at constant angular velocity if air resistance exerts a force of 0.020 N on the ball. Ignore the rod’s moment of inertia and air resistance.
ANSWER:
Solution:Step 1The young’s modulus is the ratio of longitudinal stress and longitudinal strain. FL Y = AeWhere, F is the force,L is the length,A is the cross sectional area,e is the elongation.