CAIE A-Level Physics A2 M 2 Algebra Models Units and Dimensional Consistency Topic Practice

Question 1

[Maximum number: 3]

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)

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

T=2π(Lg)T=2 \pi \sqrt{\left(\frac{L}{g}\right)}

where g is the acceleration of free fall and L is the length of the pendulum.
Use data from (b) to determine L.

L=
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