Question

There should be two answers.

2. If you initially displace the pendulum above by 8 degrees and release it from rest, where will the pendulum be and what will its velocity be 5.4 seconds later? nline

Answer 1

A simple pendulum consists of a mass m hanging from a string of length L and fixed at a pivot point P. When displaced to an initial angle and released, the pendulum will swing back and forth with periodic motion,As with simple harmonic oscillators, the period for a pendulum is nearly independent of amplitude, especially if $\theta$ is less than about $\text{15º}$°.

T=2$\pi$$\sqrt{}}$L/g

length L of the string and the value of the gravitational field strength g

Applying the first law of motion

V=U+gT-------------

V= final velocity

U=initial Velocity=0 as it is from rest

g= acceleration due to gravity=9.8

T=5.4 Sec

V=53 m/sec(Velocity at 5.4 sec)