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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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Text solutionVerified
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 |
Topic | Circular & Rotation Motion |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |