Question

1.A 1.10 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring with k = 490 N/m. Let x be the displacement of the block from the position at which the spring is unstretched. At t = 0 the block passes through x = 0 with a speed of 3.40 m/s in the positive x direction. What are the (a) frequency and (b) amplitude of the block's motion

2.A vertical spring stretches 13 cm when a 4.8 kg block is hung from its end. (a) Calculate the spring constant. This block is then displaced an additional 2.1 cm downward and released from rest. Find the (b) period, (c) frequency, (d) amplitude, and (e) maximum speed of the resulting SHM.

3.The balance wheel of a watch oscillates with angular amplitude 1.4π rad and period 0.41 s. Find (a) the maximum angular speed of the wheel, (b) the angular speed of the wheel at displacement 1.4π/2 rad, and (c) the magnitude of the angular acceleration at displacement 1.4π/4 rad.

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Answer 1