Objective Type Questions on Applied Mechanics - Set 09 - ObjectiveBooks

Objective Type Questions on Applied Mechanics - Set 09

Practice Test: Question Set - 09

1. If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
    (A) Proportional to A
    (B) Proportional to A²
    (C) Proportional to 1/A²
    (D) Independent of A

2. A body of weight ‘w’ placed on an inclined plane is acted upon by a force ‘P’ parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ‘θ’ and angle of friction is ‘φ’, the minimum value of ‘P’, is
    (A) w sin (φ - θ)/cos φ
    (B) w sin (θ - φ)/cos φ
    (C) w cos (θ + φ)/cos φ
    (D) w sinθ  cos(θ - φ)/sin φ

3. The C.G. of a thin hollow cone of height ‘h’, above its base lies on the axis, at a height of
    (A) h/3
    (B) h/4
    (C) 2h/3
    (D) 3h/4

4. According to Law of Triangle of Forces
    (A) Three forces acting at a point, can be rep-resented by the sides of a triangle, each side being in proportion to the force
    (B) Three forces acting along the sides of a triangle are always in equilibrium
    (C) If three forces acting on a, point can be represented in magnitude and direction, by the sides of a triangle taken in order, these will be in equilibrium
    (D) If the forces acting on a particle be represented in magnitude and direction by the two sides of a triangle taken in order, their resultant will be represented in magnitude and direction by the third side of the triangle, taken in opposite order

5. The unit of rotational inertia of a body in C.G.S system is
    (A) cm4
    (B) kg.cm²
    (C) gm.cm²
    (D) gm.cm3

6. In case of S.H.M. the period of oscillation (T), is given by
    (A) T = 2ω/π²
    (B) T = 2π/ω
    (C) T = 2/ω
    (D) T = π/2ω

7. The locus of the instantaneous centre of a moving rigid body, is
    (A) Straight line
    (B) Involute
    (C) Centroid
    (D) Spiral

8. A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately
    (A) 400 watts
    (B) 500 watts
    (C) 4000 watts
    (D) None of these

9. Minimum pull in a suspended cable with supports at two ends is equal to
    (A) Horizontal thrust
    (B) Support reactions
    (C) Resultant of horizontal thrust and support reaction
    (D) Half the weight of the cable

10. The reaction at the central support B of the beam ABC hinged at D shown in below figure is
Applied Mechanics-Set 09, Question No. 10
    (A) 2 t
    (B) 5.8 t
    (C) 0.2 t
    (D) 3.5 t

11. Engineer's units of force, is
    (A) Newton in absolute units
    (B) Dyne in absolute units
    (C) Newton and dyne in absolute units
    (D) All the above

12. 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
    (A) wl/4d
    (B) wl²/4d
    (C) wl²/8d
    (D) wl²/16d

13. A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be
    (A) 20 m/sec
    (B) 30 m/sec
    (C) 40 m/sec
    (D) 50 m/sec

14. The rate of change of displacement of a body with respect to its surrounding, is known
    (A) Velocity
    (B) Acceleration
    (C) Speed
    (D) None of these

15. If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is
    (A) 500 meters
    (B) 1000 meters
    (C) 1500 meters
    (D) 2000 meters

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