A Seconds pendulum executes 0.5 beat per second 1.0 beat per second 2.0 beats pe

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2.0 beats per second

Applied Mechanics problems

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1. The following is not a law of static friction :
Options
A. The force of friction always acts in a direction opposite to that in which the body tends to move
B. The force of friction is dependent upon the area of contact
C. The force of friction depends upon the roughness of the surface
D. The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces.

2. If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along
Options
A. the same line in the same sense
B. the same line in opposite sense
C. the perpendicular to both the lines
D. none of these.

4. Which one of the following laws is not applicable to a simple pendulum?.
Options
A. The time period does not depend on its magnitude
B. The time period is proportional to its length l
C. The time period is proportional to l where l is length
D. The time period is inversely proportional to g where g is the acceleration due to gravity.

5. Lami's theroem states that
Options
A. three forces acting at a point are always in equilibrium
B. if three forces acting on a point can be represented in magnitude and direction by the sides of a triangle, the point will be in the state of equilibrium
C. three coplaner forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two
D. three coplaner forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two
E. none of these.

6. The acceleration of a train starting from rest at any instant is where V is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of
Options
A. 2000 m
B. 2100 m
C. 2200 m
D. 2300 m
E. 2500 m.

7. A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is
Options
A. 0.25
B. 0.50
C. 0.75
D. 1.0

9. A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is
Options
A. 0.5 m/sec²
B. 0.75 m/sec²
C. 1.00 m/sec²
D. 1.25 m/sec².

10. A number of forces acting simultaneously on a particle of a body
Options
A. may not be replaced by a single force
B. may be replaced by a single force
C. may be replaced by a single force through C.G. of the body
D. may be replaced by a couple
E. none of these.

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