First slide

Mechanical equilibrium force cases

Question

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?

Moderate

A

$P = W tanθ$
B

$\vec{T} + \vec{P} + \vec{W} = 0$
C

$T^{2} = P^{2} + W^{2}$
D

T = P + W

Solution

As the metal sphere is in equilibrium under the effect of three forces therefore $\vec{T} + \vec{P} + \vec{W} = 0$
From the figure $T cosθ = W - - - - (i) Tsinθ = P - - - - (ii)$
From equations (i) and (ii), we get
$P = W tanθ$
and $T^{2} = P^{2} + W^{2}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App