Applied Mechanics and Graphic Statics MCQs

Question 1

On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts

Accepted Answer

Zero at its upper end

Answer

Downwards at its upper end

Answer

Upwards at its upper end

Answer

Perpendicular to the wall at its upper end

Question 2

On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts

Accepted Answer

Upwards at its upper end

Answer

Towards the wall at its upper end

Answer

Away from the wall at its upper end

Answer

Downwards at its upper end

Question 3

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

Accepted Answer

45°

Answer

30°

Answer

90°

Answer

0°

Question 4

For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

Accepted Answer

$$\alpha = \frac{\pi }{2} + \frac{\beta }{2}$$

Answer

$$\alpha = \frac{\pi }{4} - \frac{\beta }{2}$$

Answer

$$\alpha = \frac{\beta }{2} - \frac{\pi }{2}$$

Answer

$$\alpha = \frac{\pi }{4} - \frac{\beta }{4}$$

Question 5

If $$\alpha $$ is the angular acceleration of a compound pendulum whose angular displacement is $$	heta $$, the frequency of the motion is

Accepted Answer

$$\frac{1}{{2\pi }}\sqrt {\frac{\alpha }{	heta }} $$

Answer

$$2\pi \sqrt {\frac{\alpha }{	heta }} $$

Answer

$$4\pi \sqrt {\frac{\alpha }{	heta }} $$

Answer

$$2\pi \sqrt {\alpha - 	heta } $$

Question 6

In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is

Accepted Answer

314

Answer

1.5

Answer

5

Answer

25

Question 7

A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

Accepted Answer

More than that of BC

Answer

Less than that on BC

Answer

Equal to that on BC

Answer

None of these

Question 8

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

Accepted Answer

0.50 cm

Answer

0.25 cm

Answer

0.75 cm

Answer

1.00 cm

Question 9

The angles between two forces to make their resultant a minimum and a maximum respectively are

Accepted Answer

180° and 0°

Answer

0° and 90°

Answer

180° and 90°

Answer

90° and 180°