(i)[2]
Calculate the string's extension.
(ii)[4]
The projection speed of $P$.
(iii)[4]
The length of the plane's line of greatest slope.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A light elastic string has natural length $0.4\text{ m}$ and modulus of elasticity $20\text{ N}$. One end is fixed to a particle $P$ of mass $0.8\text{ kg}$, and the other end is secured to a fixed point $O$ at the top of a smooth plane inclined at $30^\circ$ to the horizontal. The particle is in equilibrium at rest on the plane.