Hooke's lawEdexcel International A Level Further Maths: Mind map

Exam questions on Hooke's law

1. A light elastic string has natural length $0.5$ m and modulus of elasticity $20$ N. One end of the string is fixed to a point $A$ and a particle $P$ of mass $0.6$ kg is attached to the other end. The particle hangs in equilibrium vertically below $A$. Take $g=9.8$ m s$^{-2}$.
   The particle is replaced by a particle of mass $M$ kg, and in equilibrium the string has length $0.7$ m. Find $M$.2 marks
2. A light spring has natural length $0.5$ m and modulus of elasticity $14.7$ N. The spring stands vertically with its lower end fixed to horizontal ground. A particle of mass $0.9$ kg rests in equilibrium on the top of the spring. Take $g=9.8$ m s$^{-2}$.
   The particle is replaced by a particle of mass $M$ kg, and in equilibrium the length of the spring is $0.35$ m. Find $M$.2 marks
3. Two light elastic strings $AP$ and $BP$ have natural lengths $0.6$ m and $0.5$ m and moduli of elasticity $24$ N and $30$ N respectively. The ends $A$ and $B$ are fixed to points $2$ m apart on a smooth horizontal table, and the other ends are joined to a particle $P$ lying on the table on the line $AB$, between $A$ and $B$. Both strings are taut.
   Find the length $AP$ in equilibrium.3 marks