Applied Mechanics and Graphic Statics MCQs

Question 1

A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length

Accepted Answer

Must be increased

Answer

Must be decreased

Answer

Is not changed but weight of the bob is increased

Answer

Is not changed but weight of the bob is decreased

Question 2

The centre of gravity of a homogeneous body is the point at which the whole

Accepted Answer

Weight of the body is assumed to be concentrated

Answer

Volume of the body is assumed to be concentrated

Answer

Area of the surface of the body is assumed to be concentrated

Answer

All the above

Question 3

The following is in unstable equilibrium

Accepted Answer

A solid cube resting on one edge

Answer

A uniform solid cone resting on a generator on a smooth horizontal plane

Answer

A uniform solid cone resting on its base on a horizontal plane

Answer

A satellite encircling the earth

Question 4

Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, is

Accepted Answer

4 sec

Answer

2 sec

Answer

3 sec

Answer

5 sec

Question 5

A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is

Accepted Answer

10 kg

Answer

40 kg

Answer

60 kg

Answer

100 kg

Question 6

A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?

Accepted Answer

Sphere with lesser rotational energy at bottom than cylinder

Answer

Sphere with greater rotational energy at bottom than cylinder

Answer

Cylinder with greater rotational energy at bottom than sphere

Answer

Both reach the bottom simultaneously with equal rotational energy at bottom

Question 7

A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a

Accepted Answer

Parabola

Answer

Catenary

Answer

Cycloid

Answer

Ellipse

Question 8

If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is

Accepted Answer

120°

Answer

30°

Answer

45°

Answer

60°

Question 9

If the resultant of two forces P and Q acting at an angle $$	heta $$ makes an angle $$\alpha $$ with P, then tan $$\alpha $$ equals

Accepted Answer

$$\frac{{{	ext{Q}}\sin 	heta }}{{{	ext{P}} + {	ext{Q}}\cos 	heta }}$$

Answer

$$\frac{{{	ext{P}}\sin 	heta }}{{{	ext{P}} - {	ext{Q}}\cos 	heta }}$$

Answer

$$\frac{{{	ext{P}}\sin 	heta }}{{{	ext{P}} + {	ext{Q}}	an	heta }}$$

Answer

$$\frac{{{	ext{Q}}\sin 	heta }}{{{	ext{P}} + {	ext{Q}}\sin	heta }}$$