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A block rests on a rough inclined plane ...

A block rests on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and inclined plane is 0.8. If the frictional force on the block is 10 N, the mass of the block is

A

2 kg

B

4 kg

C

1.6 kg

D

2.5 kg

Text Solution

Verified by Experts


`mgsintheta=m xx 10 xx 1/2=5m`
`mumg costheta=8/10 xx m xx sqrt3/2=root4(3)m`
`since mumg cos theta > mg sin theta`
`impliesf_(r)=mg sin theta implies5m=10`
`implies m=2 kg`
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CENGAGE PHYSICS-FRICTION-MANDATORY EXERCISE. (EXERCISE SET I)
  1. A body of mass 100 g is made just to slide on a rough surface by apply...

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  2. A weight 'W' rests on a horizontal plane. What will be the least force...

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  3. A horizontal force of 10 N is necessary to just hold a block stationar...

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  4. A mass of 4 kg rests on a horizontal plane. When the plane is graduall...

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  5. The ratio of mu(k) (kinetic friction) and mu(s) (state friction) is

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  6. What is the relation between the normal reaction acting on a surface a...

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  7. A block of mass 0.1 kg is held against a wall by applying a horizontal...

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  8. The block of mass m is in contact with a moving cart as shown in the f...

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  9. A block is placed on an inclined plane. The angle of inclination of th...

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  10. Find the maximum value of force F such that the block shown in the fig...

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  11. If F denotes the contact force, f denotes the frictional force exerted...

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  12. In the figure, blocks A and B weigh 20 N and 100 N respectively. The b...

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  13. A rocket is fired vertically from the earth with an acceleration of 2g...

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  14. A horizontal force of 10N is necessary to just hold a block stationary...

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  15. The acceleration of a moving body down a rough inclined plane is

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  16. A body of mass Mis kept on a rough horizontal surface with friction co...

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  17. A block of mass m is placed at rest on a horizontal rough surface with...

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  18. A block rests on a rough inclined plane making an angle of 30° with th...

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  19. A force is linearly increasing with time, on a block of mass m placed ...

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  20. In the figure shown, the frictional coefficient between the table and ...

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