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A very light rigid rod with a length of .281 m extends straight out from one end

ID: 2275728 • Letter: A

Question

A very light rigid rod with a length of .281 m extends straight out from one end of a meter stick. The combination is suspended from a pivot at the upper end of the rod as shown in the following figure. The combination is then pulled out by a small angle and released.

A very light rigid rod with a length of .281 m extens straight out from one end of a meter stick. The combination is suspended from a pivot at the upper end of the rod as shown in the following figure. The combination is then pulled out by a small angle and released. (a) Determine the period of oscillation of the system s. (b) By what percentage does the period differ from the period of a simple pendulum .781m long?

Explanation / Answer

similarr problem will help you to solve your answer..

A very light rigid rod with a length of 0.850 m extends straight out from one end of a meter stick. The combination is suspended from a pivot at the upper end of the rod as shown in the following figure. The combination is then pulled out by a small angle and released.
Determine the period of oscillation of the system.

By what percentage does the period differ from the period of a simple pendulum 1.350 m long?

Answer..


Using the parallel axis theorem, I = 1.905833m where m is the mass of the meter stick.
T = 2[I/mgL] = 2.3847 sec

Ts = 2[L/g] = 2.332 sec

T/Ts - 1 = .0226 = 2.26% longer period for the physical pendulum described above. (Mrod = 0)   

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