If two equal forces of magnitude P act at an angle ?, their resultant, will be P

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Question
If two equal forces of magnitude P act at an angle ?, their resultant, will be
Options
A. P cos ?/2
B. 2P sin ?/2
C. P tan ?/2
D. 2P cos ?/2
E. P sin ?/2.

Correct Answer

2P cos ?/2

Applied Mechanics problems

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2. The point about which combined motion of rotation and translation of a rigid body takes place, is known as
Options
A. Virtual centre
B. Instantaneous centre
C. Instantaneous axis
D. Point of rotation
E. All the above.

3. The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of
Options
A. 8.04 km/sec at a height of 285 km
B. 11.11 km/sec at a height of 37, 400 km
C. 11.26 km/sec, the satellite escapes the pull of the earth
D. all the above.

5. The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is
Options
A. 5.88 m/sec
B. 8.88 m/sec
C. 10.88 m/sec
D. 12.88 m/sec.

7. Pick up the correct statement from the following. The kinetic energy of a body
Options
A. before impact is equal to that after impact
B. before impact is less than that after impact
C. before impact is more than that after impact
D. remains constant
E. none of these.

9. A rigid body suspended Vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called
Options
A. simple pendulum
B. compour pendulum
C. Second's pendulum
D. none of these.

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