CAIE A-Level Physics A2 M 3 Geometry Trigonometry and Vectors Topic Practice

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Question 1

[Maximum number: 1]

A steel sphere of mass 0.29 kg is suspended in equilibrium from a vertical spring. The centre of the sphere is 8.5 cm from the top of the spring, as shown in Fig. 2.1.

Fig. 2.1

Fig. 2.1

The sphere is now set in motion so that it is moving in a horizontal circle at constant speed, as shown in Fig. 2.2.

Fig. 2.2

Fig. 2.2

The distance from the centre of the sphere to the top of the spring is now 10.8 cm .

The angle between the linear axis of the spring and the vertical is 27∘27^{\circ}.

Show that the radius r of the circle is 4.9 cm .

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