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 | + | 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. |
</div>{{#NAVCONTENT:Answer|Answer 10.3|Solution|Solution 10.3}} | </div>{{#NAVCONTENT:Answer|Answer 10.3|Solution|Solution 10.3}} | ||
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| + | ===Exercise 10.4=== | ||
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| + | 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 <math>\text{m}{{\text{s}}^{-1}}</math>. | ||
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| + | </div>{{#NAVCONTENT:Answer|Answer 10.4|Solution|Solution 10.4}} | ||
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| + | ===Exercise 10.5=== | ||
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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. | ||
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| + | </div>{{#NAVCONTENT:Answer|Answer 10.5|Solution|Solution 10.5}} | ||
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| + | ===Exercise 10.6=== | ||
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| + | A particle, of mass 12 kg slides down a rough slope inclined at 40<math>{}^\circ </math> to the horizontal. The coefficient of friction between the particle and the slope is 0.2. Find the acceleration of the particle. | ||
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| + | </div>{{#NAVCONTENT:Answer|Answer 10.6|Solution|Solution 10.6}} | ||
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| + | ===Exercise 10.7=== | ||
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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. | ||
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| + | </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 \displaystyle \text{m}{{\text{s}}^{-2}},
b) accelerates downwards at 0.2 \displaystyle \text{m}{{\text{s}}^{-2}},
c) travels upwards with a retardation of 0.1 \displaystyle \text{m}{{\text{s}}^{-2}}.
Loading...Exercise 10.2
A car of mass 1 tonne travels along a horizontal road and brakes from 50 \displaystyle \text{m}{{\text{s}}^{-1}} to rest in a distance of 300 m. Find the magnitude of the braking force on the car.
Exercise 10.3
A particle of mass 5 kg slides down a smooth plane, inclined at an angle of 30\displaystyle {}^\circ to the horizontal. Find the acceleration of the particle down the plane.
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 \displaystyle \text{m}{{\text{s}}^{-1}}.
Exercise 10.5
A block of mass 20 kg is pulled across a rough horizontal plane by a string, inclined at 30\displaystyle {}^\circ to the horizontal. If the tension in the string is 50 N and the acceleration produced is 0.5 \displaystyle \text{m}{{\text{s}}^{-2}} find the friction force on the block and the coefficient of friction.
Exercise 10.6
A particle, of mass 12 kg slides down a rough slope inclined at 40\displaystyle {}^\circ to the horizontal. The coefficient of friction between the particle and the slope is 0.2. Find the acceleration of the particle.
Exercise 10.7
A particle of mass 3 kg is pulled across a rough horizontal plane, by a string inclined at \displaystyle 30 {}^\circ 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.
