SHM/Pendulum Prob: Solving Last 2 Parts of the Problem

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AI Thread Summary
The discussion revolves around solving the final parts of a pendulum problem involving its angular velocity, frequency of oscillation, amplitude, maximum angle, and kinetic energy at specific positions. The pendulum has a length of 2m and a mass of 1kg, with a displacement of 20cm at 1 second. Key calculations include an angular velocity of 2.21 m/s, a frequency of 0.35 Hz, an amplitude of 0.25m, and a maximum angle of 0.13 radians. The user is seeking assistance with calculating the kinetic energy at positions theta = 0 rad and theta = 1/2 pi rad, as well as understanding the differences in energy at these points in the pendulum's cycle. Clarification on these concepts is essential for completing the problem accurately.
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Homework Statement


I'm stuck on the last 2 parts of this problem and would really appreciate any help!

A pendulum of length 2m and mass 1kg oscillates about its equilibrium position. At time 1s it has a displacement of 20cm. Assume that (phi symbol) = 0 rad.


Homework Equations



a) Its angular velocity

b) the frequency of oscilation

c) the amplitude

d) the maximum angle from the verticle made by the pendulum

e) the speed of the pendulum is given by v(t) = w(ang. vel)A(amplitude)cos(wt+phi). Calculate the kinetic energy at positions theta = 0 rad and theta = 1/2 pi rad

f) where on the pendulum's cycle do these energies occur and why are they different?

The Attempt at a Solution


 
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You need to show some sort of attempt. If it moves with SHM, what is the general form of its motion? x(t) = ?
 
These are the answers I got:

A) 2.21 ms^-1

B) 0.35Hz

C) 0.25m

D) 0.13 rads

E) ?

F) ?
 
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