Acceleration Down an Inclined Plane Problem

AI Thread Summary
The discussion focuses on calculating the acceleration of a block sliding down a frictionless inclined plane at an angle of 23.7 degrees. The acceleration can be determined using the formula a = g * sin(theta), where g is the acceleration due to gravity. For a block starting from rest at a distance of 9.87 meters up the incline, the final speed at the bottom can be calculated using kinematic equations. The free body diagram is essential for visualizing the forces acting on the block. Overall, the problem emphasizes the application of physics principles to solve for acceleration and final velocity.
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The block shown in figure below lies on a smooth plane tilted at an angle theta = 23.7o to the horizontal.

A) Determine the acceleration of the block as it slides down the plane. Ignore friction.

B) If the block starts from rest x = 9.87 m up the plane from its base, what will be the block's speed when it reaches the bottom of the incline?
 
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nycjay222 said:
The block shown in figure below lies on a smooth plane tilted at an angle theta = 23.7o to the horizontal.

A) Determine the acceleration of the block as it slides down the plane. Ignore friction.

B) If the block starts from rest x = 9.87 m up the plane from its base, what will be the block's speed when it reaches the bottom of the incline?

Show some effort. Start with the free body diagram.
 

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