Problem 1. A grandfather clock has a pendulum 1 metre long weighing 1 kg. The pi

Question

Problem 1. A grandfather clock has a pendulum 1 metre long weighing 1 kg. The pivot is rusty and slows down the operation of the clock by exerting a force equivalent to 10 times the angular velocity at the pivot. the clock ticks if the pendulum swings more than 0.1 from the vertical. How many times does the clock tick if you release the pendulum from a 5 angle? Problem 2. Oiling the pivot reduces the force by a factor of 100. How many times does the clock tick if you release the pendulum from a 5 angle? Problem 3. How many times does the clock tick if you release the pendulum from a 10 angle?

Explanation / Answer

PART 1)

Since the friction is 10 times the angular speed

so on increasing the angle 50 times that is 5 degree

the clock tick 5 times more in one second

PART 2)

if friction reduces by 100 due to oiling

so the clock ticks by 50 times more after oiling the clock

PART 3)

if the clock is release by 10 degree

so the time is increase by 100 times

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