pendulum

A thin uniform rod AB of length L and mass M is pivoted from a point

L/4 from vertical position and released to form a pendulum, find the Time Period of its

Oscillations?

• π root(5L/6g)

• 2π root( 6L/7g)

• 2π root(7L/12g)

• 3π root(8L/13g)

A simple pendulum has time period T = 2 s in air. If the whole arrangement is placed in a nonviscous liquid whose density is ½ times the density of the bob. The time period in the liquid will be,

• (2/√2) s

• 4 s

• 2√2 s

• 4√2 s

A simple pendulum suspended form the ceiling of a lift has time period T when the lift is at rest. When the lift falls freely, the time period is

• infinite

• T/g

• zero

• g/T

What is the length of a simple pendulum which ticks seconds?

• 0.5m

• 1m

• 8m

• 2m

For small swings the period of swing is approximately the same for different size swings: that is, the period is independent of amplitude. This property, called

• isochronism

• simple harmonic motion

• oscillation

• seismic activity

The two main methods of controlling a double inverted pendulum are

• moving the base, as with the inverted pendulum,

• by applying a torque at the pivot point between the two pendulums.

• both a and b

A pair of trapeze performers at the circus is swinging from ropes attached to a large elevated platform. Suppose that the performers can be treated as a simple pendulum with a length of 16 m. Determine the period for one complete back and forth cycle.

• 2s

• 4s

• 6s

• 8s

If a pendulum-driven clock gains 5.00 s/day, what fractional change in pendulum length must be made for it to keep perfect time?

• 0.116%

• 0.0116%

• 1.16%

• 11.6%

An engineer builds two simple pendula. Both are suspended from small wires secured to the ceiling of a room. Each pendulum hovers 2 cm above the floor. Pendulum 1 has a bob with a mass of 10 kg. Pendulum 2 has a bob with a mass of 100 kg. Describe how the motion of the pendula will differ if the bobs are both displaced by 12º.

• Amplitude changes by 1 cm.

• Time period will change by 0.2 s.

• Theta change by 0.2 rad.

• The movement of the pendula will not differ at all

Natural frequency of simple pendulum depends upon

• its mass

• its length

• square of its length

• square root of its length