If a number of forces act simultaneously on a particle, it is possible | ENGINEERING MECHANICS

(a) not a replace them by a single force
(b) to replace them by a single force
(c) to replace them by a single force through C.G.
(d) to replace them by a couple
(e) to replace them by a couple and a force.
Ans: b

The magnitude of two forces, which when acting at right angle produce resultant force of VlOkg and when acting at 60° produce resultant of Vl3 kg. These forces are

(a) 2 and V6
(b) 3 and 1 kg
(c) V5andV5
(d) 2 and 5
(e) none of the above.
Ans: c

Center of gravity of a thin hollow cone lies on the axis at a height of | ENGINEERING MECHANICS

(a) one-fourth of the total height above base
(b) one-third of the total height above base
(c) one-half of the total height above base
(d) three-eighth of the total height above the base
(e) none of the above.
Ans: b

A number of forces acting at a point will be in equilibrium if | ENGINEERING MECHANICS

(a) their total sum is zero
(b) two resolved parts in two directions at right angles are equal
(c) sum of resolved parts in any two per-pendicular directions are both zero
(d) all of them are inclined equally
(e) none of the above.
Ans: c