(a)[3]
Explain, with reference to the forces acting on the sphere, why the spring is longer in Fig. 2.2 than in Fig. 2.1.
(b(i))[1]
The angle between the linear axis of the spring and the vertical is $27^\circ$. Show that the radius $r$ of the circle is $4.9\,\text{cm}$.
(b(ii))[2]
Show that the tension in the spring is $3.2\,\text{N}$.
(b(iii))[2]
The spring obeys Hooke’s law. Calculate the spring constant, in $\text{N cm}^{-1}$, of the spring.
(c(i))[2]
Use the values from (b) to determine the centripetal acceleration of the sphere.
(c(ii))[2]
Calculate the period of the sphere’s circular motion.
(b)
The angle between the linear axis of the spring and the vertical measures $27^{\circ}$.