A metal sphere is hung by a string fixed to a will. The force acting on the sphere are shown in figure. Which of the following statement is NOT corrent?

Options

A. `vec(N)+vec(T)+vec(W)=0`
B. `T^(2)=T^(2)+W^(2)`
C. `T=N+W`
D. N=Wtan`theta`

Answer

C

Explanation

As the body is in equilibrium, so vector sum of all three force `vec(N)` , `vec(T)` and `vec(W)` should be zero. Hence (a) is correct. Now
`Tsintheta=N` (1),
`Tcostheta=W` (2)
(1)-:(2) implies `tantheta=(N)/(W)` implies `N=wtantheta` . Hence (d) is correct. Squaring and adding (1) and (2): `T^(2)=N^(2)+W^(2)`
Hence (b) is correct
Hence (c) is incorrect.