Question

Q2) A simple pendulum consists of a ball of mass 4.0 kg attached to the ceiling by a very light wire 3 of length 2.0 m. Att from rest. 0s, the pendulum is displaced to the right by an angle of 8 and released a) What is the period of oscillation? rn b) What is the magnitude of the force on the ball tangential or perpendicular) to the string at t os c) What is the maximum speed of the ball while in motion? d) What is the angular displacement from the vertical of the ball at t -6.3 s? (Give the angle as negative if it is to the left of the vertical) e) What is the tension in the string when the pendulum is vertical?

Answer 1

a] Period T = 2pi* sqrt(L/g) = 2pi* sqrt(2/9.8) = 2.838 s

b] F = mg sin theta

c] maximum speed v = sqrt(2KE/m) = sqrt(2*mgL*(1- cos theta)/m) =  sqrt(2*gL*(1- cos theta))

d] theta = 8* cos wt

= 8* cos (2pi/2.838*6.3)

= 1.505 degree