Applied Mechanics and Graphic Statics MCQs

Question 1

The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

Accepted Answer

$$\frac{{{	ext{w}}{l^2}}}{{8{	ext{d}}}}$$

Answer

$$\frac{{{	ext{w}}l}}{{4{	ext{d}}}}$$

Answer

$$\frac{{{	ext{w}}{l^2}}}{{4{	ext{d}}}}$$

Answer

$$\frac{{{	ext{w}}{l^2}}}{{16{	ext{d}}}}$$

Question 2

A rope is wrapped twice around a rough pole with a coefficient of friction $$\mu $$ . It is subjected to a force F1 at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to F1 is

Accepted Answer

$${{	ext{e}}^{4\pi \mu }}$$

Answer

$$1$$

Answer

$${{	ext{e}}^{2\mu }}$$

Answer

$${{	ext{e}}^{360\mu }}$$

Question 3

If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

Accepted Answer

The same line in opposite sense

Answer

The same line in the same sense

Answer

The perpendicular to both the lines

Answer

None of these

Question 4

Force polygon method is applicable for

Accepted Answer

Concurrent coplanar force system

Answer

Any coplanar force system

Answer

A system of parallel forces only

Answer

Non-concurrent coplanar force system

Question 5

Force polygon method is applicable for

Accepted Answer

concurrent copianar force system

Answer

any copianar force system

Answer

a system of parallel forces only

Answer

non-concurrent copianar force system

Question 6

From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

Accepted Answer

5.0 cm

Answer

4.5 cm

Answer

5.25 cm

Answer

5.5 cm

Question 7

The unit of impulse, is

Accepted Answer

kg.m/sec

Answer

kg.m/sec3

Answer

kg.m/sec2

Answer

kg.m2/sec

Question 8

The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of

Accepted Answer

All the above

Answer

8.04 km/sec at a height of 285 km

Answer

11.11 km/sec at a height of 37,400 km

Answer

11.26 km/sec, the satellite escapes the pull of the earth

Question 9

Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?

Accepted Answer

Disc with smaller density

Answer

Disc with larger density

Answer

Both discs will have same rotational inertia

Answer

None of the above