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Forces M and N acting at a point Omake an angle 150°. Their resultant acts at O has magnitude 2 unit and is perpendicular to M. Then, in the same unit, the magnitudes of M and N are

1) 2√3, 4 2) √3 / 2, 2 3) 3, 4 4) 4, 5 Solution: (1) 2√3, 4 22 =... View Article

2 forces P and Q are acting parallel to the length and base of an inclined plane respectively would each of them singly support a weight W, on the plane, then (1 / p²) – (1 / q²) =

1) 1 / W2 2) 2 / W2 3) 3 / W2 4) None of these Solution: (1) 1 /... View Article

The resultant of two forces P and Q is R. If the direction of P is reversed keeping the direction Q the same, the resultant remains unaltered. The angle between P and Q is

1) 90° 2) 60° 3) 45° 4) 30° Solution: (1) 90°

If two forces P and Q act on such an angle that their resultant force R is equal to force P, then if P is doubled then the angle between the new resultant force and Q will be

1) 30° 2) 60° 3) 45° 4) 90° Solution: (4) 90° Clearly P2 = P2 + Q2 + 2PQ cos... View Article

The resultant of two forces acting on a particle is at right angles to one of them and its magnitude is one-third of the magnitude of the other. The ratio of the larger force to the smaller is

1) 3 : 2√2 2) 3 √3 : 2 3) 3 : 2 4) 4 : 3 Solution: (1) 3... View Article

If the resultant of two forces of magnitudes P and Q acting at a point at an angle of 60° is √7 Q, then P/Q is

1) 1 2) 3 / 2 3) 2 4) 4 Solution: (3) 2 R2 = P2 + Q2 + 2PQ... View Article

With two forces acting at a point, the maximum effect is obtained when their resultant is 4 N. If they act at right angles, then their resultant is 3 N. Then the forces are

1) (2 + (1 / 2) √3)N and (2 – (1 / 2) √3N) 2) (2 + √3)N and (2... View Article

Let ABC be an equilateral triangle formed by weightless inextensible strings, the side AB is horizontal. A and B are tied to fixed points D and E by equal weightless inextensible strings AD, BE; a weight of W gm is attached at C. The angle DAB, ABE are each 150°. Then which of the following statements is true

1) The tensions in the strings AB, BC and CA are equal 2) The tensions in the strings BE, AD... View Article

Forces proportional to AB, BC and 2CA act along the sides of triangle ABC in order, their resultants represented in magnitude and direction is

1) CA 2) AC 3) BC 4) CB Solution: (1) CA Resultant AB + BC + 2 CA = AC... View Article

If the angle ɑ between 2 forces of equal magnitude is reduced to ɑ – (π / 3, then the magnitude of their resultant becomes √3 times the earlier one. The angle ɑ is

1) π /2 2) 2π /3 3) π / 4 4) 4π / 5 Solution: (2) 2π /3 Let R... View Article

ABC is an isosceles triangle right angled at A. Forces of magnitude 2 √2, 5 and 6 act along BC, CA and AB respectively. The magnitude of their resultant forces is

1) 4 2) 5 3) 11 + 2 √2 4) 30 Solution: (2) 5 R cos θ = 6 cos... View Article

Three forces P, Q, R are acting at a point in a plane. The angle between P, Q and Q, R are 150° and 120° respectively, then for equilibrium; forces P, Q, R are in the ratio

1) 1 : 2 : 3 2) 1 : 2 : 31/2 3) 3 : 2 : 1 4) (3)1/2... View Article

If N is resolved in two components such that the first is twice of other, the components are

1) 5N, 5 √2N 2) 10N, 10 √2N 3) (N / √5), (2N / √5) 4) None of these Solution:... View Article

Forces of 1, 2 unit act along the lines x = 0 and y = 0. The equation of the line of action of the resultant is

1) y – 2x = 0 2) 2y – x = 0 3) y + x = 0 4) y... View Article

If the forces of 12, 5 and 13 unit-wt balance at a point, two of them are inclined at

1) 30° 2) 45° 3) 90° 4) 60° Solution: (3) 90° R2 = P2 + Q2 + 2PQ cos ɑ... View Article

In a triangle ABC, 3 forces of magnitudes 3 AB, 2 AC and 6 CB are acting along the sides AB, AC and CB respectively. If the resultant meets AC at D, then the ratio DC : AD =

1) 1 : 1 2) 1 : 2 3) 1 : 3 4) 1 : 4 Solution: (2) 1 :... View Article

When a particle be kept at rest under the action of the following forces

1) ↑ 8N, ↑ 5N, ↓ 13N 2) ↑ 7N, ↑ 4N, ↓ 12N 3) ↑ 5N, ↑ 8N, ↓... View Article

If the resultant of two forces is of magnitude P and equal to one of them and perpendicular to it, then the other force is

1) P √2 2) P 3) P √3 4) None of these Solution: (1) P √2 |AB| = |Q| =... View Article

The sum of the two forces is 18 and their resultant perpendicular to the lesser of the forces is 12, then the lesser force is

1) 5 2) 3 3) 7 4) 15 Solution: (1) 5 Let the two forces P and Q be inclined... View Article

The resultant R of two forces P and Q act at right angles to P. Then the angle between the forces is

1) cos-1 (P / Q) 2) cos-1 (- P / Q) 3) sin-1 (P / Q) 4) sin-1 (- P... View Article

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