A metal sphere is hung by a string fixed to a wall. The sphere is pushed away from the wall by a stick. The forces acting on the sphere are shown in the second diagram. Which of the following statements is wrong?

Options

A. `P=Wtantheta`
B. `vec(T)+vec(P)+vec(W)=0`
C. `T^(2)=P^(2)+W^(2)`
D. `T=P+W`

Answer

D

Explanation

There forces are in equilibrium

`Tsintheta=P,Tcostheta=W`
`T=sqrt((Tsintheta)^(2)+(Tcostheta)^(2))=sqrt(P^(2)+W^(2)`
`(Tsintheta)/(Tcostheta)=(P)/(W)rArrP=Wtantheta`
`vec(T)+vec(P)+vec(W)=0`