APPLIED MECHANICS AND GRAPHIC STATICS QUIZ

A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be

1.5 m/see

0.05 m/sec

0.01 m/sec

1.00 m/sec

TRUE ANSWER : ?
YOUR ANSWER : ?

If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is

Q/P

P - Q

P + Q

P/Q

TRUE ANSWER : ?
YOUR ANSWER : ?

A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If ‘r’ is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

[r (π + 0.25)]/(π - 0.5)

[r (π - 0.5)]/(π + 0.25)

[r (π - 0.25)]/(π - 0.5)

[r (π + 0.25)]/(π + 0.5)

TRUE ANSWER : ?
YOUR ANSWER : ?

Maximum efficiency of a screw jack for the angle of friction θ, is

(1 - sin θ)/sin θ

sin θ/(1 + sin θ)

(1 + sin θ)/(1 - sin θ)

(1 - sin θ)/(1 + sin θ)

TRUE ANSWER : ?
YOUR ANSWER : ?

A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is

2n rpm

n rpm

n/2 rpm

n/4 rpm

TRUE ANSWER : ?
YOUR ANSWER : ?

For a given velocity of a projectile, the range is maximum when the angle of projection is

30°

90°

45°

0°

TRUE ANSWER : ?
YOUR ANSWER : ?

A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is

0.75 m

1.0 m

0.5 m

1.5 m

TRUE ANSWER : ?
YOUR ANSWER : ?

From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

0.75 cm

0.25 cm

0.50 cm

1.00 cm

TRUE ANSWER : ?
YOUR ANSWER : ?

When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by

g(M2 + M1 sin α)/(M1 + M2) m/sec²

g(M1 + M2 sin α)/(M1 + M2) m/sec

g(M1 - M2 sin α)/(M1 + M2) m/sec²

g(M2 × M1 sin α)/(M2 - M1) m/sec²

TRUE ANSWER : ?
YOUR ANSWER : ?

In a simple harmonic motion, the position of equilibrium is always

None of these

Stable

Neutral

Unstable

TRUE ANSWER : ?
YOUR ANSWER : ?

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