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A cubical block of side 'a' is held at rest, against a rough vertical wall by applying a force acting along the centre. The mass of the block is . Taking acceleration due to gravity as 'g' , determine
The minimum coefficient of friction between the block and wall
The torque by normal reaction about the centre of mass

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1. Equations for equilibrium of the block: \sum{F}_{{{x}}}={0}, \quad \sum{F}_{{{y}}}={0}}, \quad \sum\tau={0} 2. Applying the equations: 3. Note that the normal reaction due to the wall does not pass through the centre . 4. Now, we have . 5. Using the equation , we get: or 6. Using the equation , we get: (in counter clockwise sense)
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Question Text
A cubical block of side 'a' is held at rest, against a rough vertical wall by applying a force acting along the centre. The mass of the block is . Taking acceleration due to gravity as 'g' , determine
The minimum coefficient of friction between the block and wall
The torque by normal reaction about the centre of mass
TopicCircular & Rotation Motion
SubjectPhysics
ClassClass 12
Answer TypeText solution:1