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10. Exercises

From Mechanics

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===Exercise 10.1===
===Exercise 10.1===
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A particle of mass 5 kg slides down a smooth plane, inclined at an angle of 30.<math>0{}^\circ </math> to the horizontal. Find the acceleration of the particle down the plane.
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A particle of mass 5 kg slides down a smooth plane, inclined at an angle of 30<math>{}^\circ </math> to the horizontal. Find the acceleration of the particle down the plane.
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A particle of mass 20 kg is pulled across a rough horizontal plane by a string, inclined at 30<math>{}^\circ </math> to the horizontal. If the tension in the string is 50 N and the acceleration produced is 0.5 <math>\text{m}{{\text{s}}^{-2}}</math> find the friction force on the particle and the coefficient of friction.
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A block of mass 20 kg is pulled across a rough horizontal plane by a string, inclined at 30<math>{}^\circ </math> to the horizontal. If the tension in the string is 50 N and the acceleration produced is 0.5 <math>\text{m}{{\text{s}}^{-2}}</math> find the friction force on the block and the coefficient of friction.
</div>{{#NAVCONTENT:Answer|Answer 10.5|Solution|Solution 10.5}}
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A particle of mass 3 kg is pulled across a rough horizontal plane, by a string inclined at 30<math>{}^\circ </math> to the horizontal by a force of 40 N. The coefficient of friction between the particle and the plane is 0.5. Find the acceleration of the particle.
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A particle of mass 3 kg is pulled across a rough horizontal plane, by a string inclined at <math>30 {}^\circ </math> to the horizontal by a force of 40 N. The coefficient of friction between the particle and the plane is 0.5. Find the acceleration of the particle.
</div>{{#NAVCONTENT:Answer|Answer 10.7|Solution|Solution 10.7}}
</div>{{#NAVCONTENT:Answer|Answer 10.7|Solution|Solution 10.7}}

Current revision

       Theory          Exercises          Video      

Exercise 10.1

A package with mass 300 kg is lifted vertically upwards. Find the tension in the cable which lifts the package, when the package,

a) accelerates upwards at 0.1 ms−2,

b) accelerates downwards at 0.2 ms−2,

c) travels upwards with a retardation of 0.1 ms−2.

Answer a | Answer b | Answer c | Solution a | Solution b | Solution c

Exercise 10.2

A car of mass 1 tonne travels along a horizontal road and brakes from 50 ms−1 to rest in a distance of 300 m. Find the magnitude of the braking force on the car.


Answer | Solution


Exercise 10.3

A particle of mass 5 kg slides down a smooth plane, inclined at an angle of 30 to the horizontal. Find the acceleration of the particle down the plane.


Answer | Solution

Exercise 10.4

A particle of mass 6 kg starts from rest and accelerates uniformly. The resultant force on the particle has magnitude 15 N. Find the time taken to reach a speed of 10 ms−1.


Answer | Solution

Exercise 10.5

A block of mass 20 kg is pulled across a rough horizontal plane by a string, inclined at 30 to the horizontal. If the tension in the string is 50 N and the acceleration produced is 0.5 ms−2 find the friction force on the block and the coefficient of friction.

Answer | Solution

Exercise 10.6

A particle, of mass 12 kg slides down a rough slope inclined at 40 to the horizontal. The coefficient of friction between the particle and the slope is 0.2. Find the acceleration of the particle.

Answer | Solution


Exercise 10.7

A particle of mass 3 kg is pulled across a rough horizontal plane, by a string inclined at 30 to the horizontal by a force of 40 N. The coefficient of friction between the particle and the plane is 0.5. Find the acceleration of the particle.

Answer | Solution

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