Applied Mechanics and Graphic Statics MCQs

Question 1

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

Accepted Answer

$$\frac{{1 - \sin 	heta }}{{1 + \sin 	heta }}$$

Answer

$$\frac{{\sin 	heta }}{{1 + \sin 	heta }}$$

Answer

$$\frac{{1 - \sin 	heta }}{{\sin 	heta }}$$

Answer

$$\frac{{1 + \sin 	heta }}{{1 - \sin 	heta }}$$

Question 2

For perfectly elastic bodies, the value of coefficient of restitution is

Accepted Answer

1

Answer

Zero

Answer

0.5

Answer

Between 0 and 1

Question 3

In a lifting machine with efficiency 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is

Accepted Answer

50

Answer

30

Answer

60

Answer

80

Question 4

If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

Accepted Answer

5 m/sec and 0

Answer

0 and 5 m/sec

Answer

$$5\sqrt 3 $$ m/sec and 0

Answer

5 and $$5\sqrt 3 $$ m/sec

Question 5

The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be

Accepted Answer

75°

Answer

30°

Answer

45°

Answer

60°

Question 6

An ordinate in a funicular polygon represents

Accepted Answer

Bending moment

Answer

Shear force

Answer

Resultant force

Answer

Equilibrium

Question 7

The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is

Accepted Answer

8.75 cm

Answer

7.5 cm

Answer

5.0 cm

Answer

7.85 cm

Question 8

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 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

Accepted Answer

10.88 m/sec

Answer

5.88 m/sec

Answer

8.88 m/sec

Answer

12.88 m/sec

Question 9

Pick up the correct statement from the following:

Accepted Answer

Answer

If two equal and perfectly elastic smooth spheres impinge directly, they interchange their velocities

Answer

If a sphere impinges directly on an equal sphere which is at rest, then a fraction $$\frac{1}{2}\left( {1 - {{	ext{e}}^2}} ight)$$ the original kinetic energy is lost by the impact

Answer

If a smooth sphere impinges on another sphere, which is at rest, the latter will move along the line of centres

Answer

If two equal spheres which are perfectly elastic impinge at right angles, their direction after impact will still be at right angles