Question:
A block of certain mass is placed on a rough inclined plane. The angle between the plane and the horizontal is \( 30^\circ \). The coefficients of static and kinetic frictions between the block and the inclined plane are 0.6 and 0.5 respectively. Then the magnitude of the acceleration of the block is
A block of certain mass is placed on a rough inclined plane. The angle between the plane and the horizontal is \( 30^\circ \). The coefficients of static and kinetic frictions between the block and the inclined plane are 0.6 and 0.5 respectively. Then the magnitude of the acceleration of the block is
Updated On: Dec 26, 2024
- 2 m/s²
- Zero
- 0.196 m/s²
- 0.67 m/s²
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The Correct Option is B
Solution and Explanation
The static friction force \( f = \mu_s N \) acts to resist the motion of the block.
In this case, the static friction is strong enough to counteract any force attempting to move the block. Since the friction force exceeds the component of gravitational force pulling the block down the incline, the block remains stationary and does not accelerate.
Therefore, the acceleration is zero.
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