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An inclined plane makes an angle of 30° with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to
  • a)
    g/3
  • b)
    2g/3
  • c)
    5g/7
  • d)
    5g/14
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
An inclined plane makes an angle of 30° with the horizontal. A sol...
Degrees with the horizontal. A block weighing 100 N is placed on the plane. Find the force required to prevent the block from sliding down the plane.

We can start by resolving the weight of the block into components parallel and perpendicular to the plane. The perpendicular component is given by:

W_perp = W * cos(30°) = 100 N * cos(30°) = 86.6 N

The parallel component is given by:

W_para = W * sin(30°) = 100 N * sin(30°) = 50 N

The force required to prevent the block from sliding down the plane is equal and opposite to the parallel component of the weight, so:

F = W_para = 50 N

Therefore, a force of 50 N is required to prevent the block from sliding down the inclined plane.
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An inclined plane makes an angle of 30° with the horizontal. A sol...
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An inclined plane makes an angle of 30° with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal toa)g/3b)2g/3c)5g/7d)5g/14Correct answer is option 'D'. Can you explain this answer?
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