TRUE AND FALSE A simple pendulum suspended in a rocket ship has a period T 0 . A

Question

TRUE AND FALSE

A simple pendulum suspended in a rocket ship has a period T0. Assume that the rocket ship is near the earth in a uniform gravitational field

1)If the ship accelerates upward, the period increases.
2)If the ship accelerates downward at 9.81 m/s2, the pendulum will no longer oscillate.
3)If the ship moves upward with a constant velocity, the period decreases.
4)If the mass of the pendulum is halved, the period decreases.
5)If the length of the pendulum is doubled, the new period will be: square root of 2 times T0. Tries 0/20

Explanation / Answer

formula for Timeperiod T = 2pi sqrt(L/g)

if it moves upwards , net gravity g' = g -a , g' decreases

so

T increases

1. is true

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at bottom position net g = g+g = 2g

T decreases = 0

so 2 is also true

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with constant velocity a = 0

g will not chagne

so T remains same

3 is false

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T is independent of mass so 4 is also false

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as T is directly prop to 2pi sqrtL/g)

if length doubles, T increases by sqrt2 times

so 5 is true

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