EXERCISE CHAPTER 2

1) Two masses of 5 kg and 3 kg are connected to a rope which passes over a frictionless pulley. Find the tension in the rope and acceleration of the 3kg mass when the 5 kg mass is released.

2) A 2 kg weight is connected by a rope to a 3kg wooden block. The rope passes over a smooth pulley as shown. The weight is then released. Find the tension in the rope if a friction of 5 N acts against the wooden block.

3) Find the resultant force for the two forces as shown on figure.

8 N 12N

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1200

4) A 6 kg weight is suspended from a hook in the ceiling. A horizontal string pulls the supporting string so that the latter makes an angle of 500 with the horizontal. Find the tension in both strings.

T1

------------ T2

6 kg

5) A lamp of weight 25 N is supported by two lamps. Given the tension in rope A is 20 N, find

a) The angle,Өb) The tension in rope B

Rope B 300 Rope A

25 N

6) A cartoon of mass 5kg is at rest at an inclined plane making an angle 150 with the horizontal. Find the frictional force and the normal force acting on the cartoon.

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Ө

500

5 kg

friction

150

W=mg

7) Ahmad and Ali are pulling a trolley on which their sister, Tina is sitting. Both Ahmad and Ali pull the rope with a force of 50 N, which makes an angle of 30o to the direction of motion. If the total

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mass of Tina and trolley is 30 kg and the friction between the trolley and the floor is 40 N. What is the a) Total forces towards the left?b) The acceleration of Tina and the trolley?

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