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The value of frictional force on block in the given diagram is (Take g=10 m/s² ) coefficient of friction is 0.3 and m= 3 kg and 5 N force is applied on right side of block?
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The value of frictional force on block in the given diagram is (Take g...
Understanding the Problem
To calculate the frictional force acting on the block, we need to consider the applied forces and the frictional force formula.
Given Data
- Mass of the block (m) = 3 kg
- Coefficient of friction (μ) = 0.3
- Acceleration due to gravity (g) = 10 m/s²
- Applied force (F) = 5 N
Calculating Normal Force
The normal force (N) acting on the block is equal to the weight of the block since there is no vertical movement.
- Weight (W) = m * g = 3 kg * 10 m/s² = 30 N
- Therefore, N = 30 N
Calculating Maximum Frictional Force
The maximum frictional force (f_max) can be calculated using the coefficient of friction:
- f_max = μ * N = 0.3 * 30 N = 9 N
Determining the Actual Frictional Force
Since the applied force (5 N) is less than the maximum frictional force (9 N), the block will not move.
- Therefore, the actual frictional force (f) = Applied force (F) = 5 N
Conclusion
- The frictional force acting on the block is equal to the applied force of 5 N, as it is less than the maximum frictional force.
- Key Points:
- Normal force = 30 N
- Maximum frictional force = 9 N
- Actual frictional force = 5 N
This analysis demonstrates how the forces interact in a static situation, ensuring the block remains at rest under the applied force.
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The value of frictional force on block in the given diagram is (Take g=10 m/s² ) coefficient of friction is 0.3 and m= 3 kg and 5 N force is applied on right side of block?
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