Question

In: Physics

Describe the pendulum’s physical location when the position is zero? When it has the largest positive...

  1. Describe the pendulum’s physical location when the position is zero? When it has the largest positive value?

  2. Describe the pendulum’s physical location when the velocity is zero? When is has the largest positive value? Explain.

  3. Relationship between length and period?

  4. Relationship between amplitude and period?

Solutions

Expert Solution

The motion of a pendulum is swinging from mean position to the extreme position . The velocity of pendulum varies from positive to negative during the oscillation, and also becomes zero . So the velocity is zero at the extreme positions. There , the velocity changes from a velocity to left to the velocity to the right.

SO THE VELOCITY IS ZERO AND MINIMUM AT THE TWO EXTREME POSITIONS OF THE PENDULUM.

AND, THE POSITION IS ZERO AT THE MEAN POSITION, because at the mean position, total displacement is ZERO.

At the mean position , the bob is at the least height hence the potential energy is zero and when it is pulled to the extreme position it gains potential energy.

Relationship between length and time period

relationship between amplitude and time period

where, is the frequency and is the angular frequency

where, x= displacement , A is the amplitude, t is the time, T is the time period

genius_generous answered 9 months ago
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