First slide

Rotational motion

Question

A 198 cm tall girl lies on a light (massless) board which is supported by two scales one under the top of her head and one beneath the bottom of her feet (Figure). The two scales read respectively 36 and 30 kg. What distance is the centre of gravity of this girl from the bottom of her feet?

Moderate

A

99 cm
B

90 cm
C

108 cm
D

82 cm

Solution

Let the required distance is x, then balancing the torque about centre of gravity:
$(30 g) x = (36 g) (198 - x) \Rightarrow x = 108 cm$

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