(i)[5]
Calculate the speed of $P$ when the tension in the string $BP$ is $2\,\text{N}$.
(ii)[3]
Show that the angular speed of $P$ is greater than $5\,\text{rad s}^{-1}$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
One end of a light inextensible string with length $0.5\,\text{m}$ is fixed to point $A$. The string’s other end is joined to a particle $P$ whose weight is $6\,\text{N}$. A second light inextensible string of length $0.5\,\text{m}$ links $P$ to a fixed point $B$, and $B$ is $0.8\,\text{m}$ vertically beneath $A$. Particle $P$ moves at constant speed in a horizontal circle centred at the midpoint of $AB$. Both strings are taut.