(a) To determine The expression for the total energy. Explanation Write the expression for the total energy. E = K E + P E (I) Here, E is the total energy, K E is the kinetic energy, P E is the potential energy. Write the expression for the kinetic energy. K E = 1 2 m v 2 (II) Here, m is the mass, v is the speed. Write the expression for the potential energy. P E = 1 2 k x 2 (III) Here, k is the spring constant and x is the displacement. Write the expression for the displacement. x = θ max sin ( ω t + ϕ ) (IV) Here, θ max is the amplitude, ω is the angular frequency, t is the time and ϕ is the phase angle. Write the expression for the speed. v = ω θ max cos ( ω t + ϕ ) (V) Here, θ max is the amplitude, ω is the angular frequency, t is the time and ϕ is the phase angle. Write the expression for the angular frequency (b) To determine The maximum speed.

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Author: Wolfson

Publisher: VST

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Chapter 13, Problem 39E

(a)

To determine

The expression for the total energy.

(b)

To determine

The maximum speed.

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Chapter 13, Problem 38E

Chapter 13, Problem 40P

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