A number of forces acting simultaneously on a particle of a body may not be repl

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Question
A number of forces acting simultaneously on a particle of a body
Options
A. may not be replaced by a single force
B. may be replaced by a single force
C. may be replaced by a single force through C.G. of the body
D. may be replaced by a couple
E. none of these.

Correct Answer

may be replaced by a single force

Applied Mechanics problems

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1. A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is
Options
A. 0.5 m/sec²
B. 0.75 m/sec²
C. 1.00 m/sec²
D. 1.25 m/sec².

3. A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is
Options
A. 0.25
B. 0.50
C. 0.75
D. 1.0

4. The acceleration of a train starting from rest at any instant is where V is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of
Options
A. 2000 m
B. 2100 m
C. 2200 m
D. 2300 m
E. 2500 m.

6. P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf = 0, is known as
Options
A. equation of dynamics
B. equation of dynamic equilibrium
C. equation of statics
D. none of these.

7. The necessary condition of equilibrium of a body, is :
Options
A. algebraic sum of horizontal components of all the forces must be zero
B. algebraic sum of vertical components of all the forces must be zero
C. algebraic sum of the moments of the forces about a point must be zero
D. all (a), (b) and (c).

8. Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect is
Options
A. maximum if it acts at the centre of gravity of the body
B. different at different points on its line of
C. same at every point on its line of action
D. minimum if it acts at the C.G. of the body
E. none of these.

10. A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be
Options
A. 10 m/sec
B. 15 m/sec
C. 20 m/sec
D. 25 m/sec.

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