A simple pendulem is made from a bob of mass 0.040 kg suspended on a light string of length 1.4 m.keeping taut,the pendulemis pulled to one side until it has gained a height of 0.10 m.calculte

a) the total energy of the oscillation
b) the amplitude of the resulting oscillation
c) the period of theresulting oscillation
d) the maximum velocity of the bob
e) the maximum kenetic energy of the bob

1 answer

a) really simple, m g h = 0.040 * 9.81 * 0.10 = 0.0392 Joules
If you usually use 10 instead of 9.81 for g It would be just 0.04 Joules

b) well, I guess they mean angle Theta
0.10 meter = 1.4 (1-cos Theta)
cos Theta = 1.3/1.4 = 0.9285
Theta = 21.8 degrees amplitude = 0.380 RADIANS

c. I will assume you know period of pendulum = 2 pi sqrt(L/g)
T = 2 * 3.14 sqrt (1.4 / 9.81) = 2.37 seconds

d. max Ke = (1/2)m v^2 = total E = 0.0392 Joules from a. above
solve for v

e. the same as answer to a. At the bottom all the energy is kinetic.