The resultant of two forces P and Q acting at an angle ?, is P2 + Q2 + 2P sin ?

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Question
The resultant of two forces P and Q acting at an angle ?, is
Options
A. P² + Q² + 2P sin ?
B. P² + Q² + 2PQ cos ?
C. P² + Q² + 2PQ tan ?
D.
E.

Correct Answer

Applied Mechanics problems

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1. The centre of gravity of a triangle is at the point where three
Options
A. medians of the triangle meet
B. perpendicular bisectors of the sides of the triangle meet
C. bisectors of the angle of the triangle meet
D. none of these.

4. A string of length 90 cm is fastened to two points A and B at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force P is applied to the ring such that it is in equilibrium vertically below B. The value of P is :
Options
A. 40 g
B. 60 g
C. 80 g
D. 100 g.

5. The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is , the velocities of separation of the balls will be equal to
Options
A. original velocity in the same direction
B. half the original velocity in the same direction
C. half the original velocity in the opposite direction
D. original velocity in the opposite direction

7. A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be
Options
A. 200 tonnes at the centre
B. 500 tonnes at the centre
C. 200 tonnes at the right support
D. 200 tonnes at the left support.

8. A projectile is thrown at an angle a to the horizontal with ? velocity v. It will have the maximum centripetal acceleration
Options
A. at the start
B. at the top of the trajectory
C. as it strikes the ground
D. else where.

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