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A block of mass m is at rest under the a...

A block of mass m is at rest under the action of force F against a wall as shown in figure. Which of the following statement is incorrect?

A

f = mg[f friction force]

B

F = N [N normal force]

C

F will not produce torque

D

N will not produce torque

Text Solution

Verified by Experts

The correct Answer is:
D

(d) The cubical block is in equilibrium
For translational equilibrium
(a) `SigmaF_x = 0 rArr F =N`
(b) `SigmaF_y = 0 rArr f = mg`

For Rotational Equilibrium
`Sigma tau_c = 0`
Where `tau_c` = torque about c.m.
Torque created by frictional force (f) about C =fxxa in
clockwish direction.
There should be another torque which should counter this torque . The normal reacton N on the block acts as
shown. This will create a torque Nxxb in the anticlockwise direction.
Such that fxxa = Nxxb.
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