   Chapter 13, Problem 8CQ

Chapter
Section
Textbook Problem

A block connected to a horizontal spring is in simple harmonic motion on a level, frictionless surface, oscillating with amplitude A around x = 0. Identify whether each of the following statements is true or false: (a) If x = ±A then |v| = |vmax| and |a| = |amax|. (b) If x = 0 then |v| = |vmax| and |a| = 0. (c) If v > 0 then a < 0. (d) If x > 0 then a < 0. (e) If x > 0 then v > 0.

(a)

To determine
Whether the given statement is true or false.

Explanation

From Hooke’s law:

F=kx

• F is the force
• k is force constant of the spring
• x <

(b)

To determine
Whether the given statement is true or false.

(c)

To determine
Whether the given statement is true or false.

(d)

To determine
Whether the given statement is true or false.

(e)

To determine
Whether the given statement is true or false.

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