Question

A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. The amplitude of the motion is 0.300mand the period is 3.39s .

Part A

What is the acceleration of the block when x= 0.160m ?

Express your answer with the appropriate units.

Part B

What is the speed of the block when x= 0.160m ?

Express your answer with the appropriate units

Answer 1

A) W = 2*pi/T = 6.28/3.39 = 1.853 rad/s

a = -W^2*x = -1.853^2*0.16 = ?0.5494 m/s^2

B)

V = W*sqrt(A^2 - x^2) = 1.853*sqrt(0.3^2 - 0.16^2) = 0.4702 m/s