Question 1
A simple pendulum consists of a metal sphere suspended from a fixed point by means of a thread, as illustrated in Fig. 3.1.
Fig. 3.1 (not to scale)
The sphere of mass 94.0 g is displaced to one side through a horizontal distance of 12.7 cm . The centre of gravity of the sphere rises vertically by 0.90 cm .
The sphere is released so that it oscillates. The sphere may be assumed to oscillate with simple harmonic motion.
The period T of oscillation of the pendulum is given by the expression
where g is the acceleration of free fall and L is the length of the pendulum.
Use data from (b) to determine L.
L=