Q.1 A pendulum has a length 701 cm and damping constant k=0.4 .The bob is released...

Q.1

A pendulum has a length 701 cm and damping constant k=0.4 .The bob is released from rest at a starting angle of =0.2. Find the period of the equation of motion of the pendulum. Use g=9.8m/s^2. Express your answer in three decimal places.

Q.2

A mass of 0.2kg stretches a spring by 9.8 cm. The damping constant is c=0.2 . External vibrations create a force of F(t)=0.8sin5t Newtons ,setting the spring in motion from its equillbrium position with zero velocity. Which of the following differential equations describe the given spring mass system?

• u"+u' + 100u =0

•u" + u' + 100u = 4 sin (5t)

•u" + u' + 1000u = 4 sin (5t)

•u" + u' + 100u = 0.8 sin (5t)

Solutions

Expert Solution

genius_generous answered 1 year ago

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