The maximum velocity of a body vibrating with a simple harmonic motion of amplit

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Question
The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is
Options
A. 188.5 m/sec
B. 18.85 m/sec
C. 1.885 m/sec
D. 0.18845 m/sec.

Correct Answer

1.885 m/sec

Applied Mechanics problems

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1. 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.

2. 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

3. If three rigid rods are hinged together to form a triangle and are given rotary as well as translatory motion, the number of instantaneous centres of the triangle, will be
Options
A. 1
B. 2
C. 3
D. 4
E. 5.

4. The Law of Polygon of Forces states that
Options
A. if a polygen representing the forces acting at point in a body is closed, the forces are in equilibrium
B. if forces acting on a point can be represented in magnitde and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by the closing side of the polygon
C. if forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order
D. if forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium.

5. The angle which an inclined surface makes with the horiontal when a body placed on it is on the point of moving down, is called
Options
A. angle of repose
B. angle of friction
C. angle of inclination
D. none of these.

7. 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.

10. 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.

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