(a) To determine The angle made by the pendulum with vertical. Explanation Write the expression for the differential equation for the pendulum motion. d 2 θ d t 2 + ( g l ) sin θ = 0 (I) Here, ( d 2 θ / d t 2 ) is the rate if change of angle, g is the gravitational acceleration, l is the length of the pendulum. Write the expression for the value of sine of angle when the pendulum angle is small. sin θ = θ (II) Here, θ is the angle. Write the expression for the natural frequency. ω = g l (III) Here, ω is the natural frequency. Conclusion: Substitute, g / l for ω , θ for sin θ in equation (I) to find θ (b) To determine The speed of the pendulum bob.

4th Edition

ISBN: 9780134988559

Author: Wolfson, Richard

Publisher: Pearson Education,

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Chapter 13, Problem 38E

(a)

To determine

The angle made by the pendulum with vertical.

(b)

To determine

The speed of the pendulum bob.

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Chapter 13, Problem 37E

Chapter 13, Problem 39E

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