Practice Test: Question Set - 14
1. A body is said to move with Simple Harmonic Motion if its acceleration, is
- (A) Always
directed away from the centre, the point of reference
- (B) Proportional
to the square of the distance from the point of reference
- (C) Proportional
to the distance from the point of reference and directed towards it
- (D) Inversely
proportion to the distance from the point of reference
2. An ordinate in a funicular polygon represents
- (A) Shear force
- (B) Resultant force
- (C) Bending moment
- (D) Equilibrium
3. The load shared by the member BC of the structure shown in below figure is
- (A) 23 t
- (B) 32 t
- (C) 4 t
- (D) 3 t
4. A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be
- (A) 0.01 m/sec
- (B) 0.05 m/sec
- (C) 1.00 m/sec
- (D) 1.5 m/see
5. The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be
- (A) sin (α +
β)/sin (α - β)
- (B) sin (α -
β)/sin (α + β)
- (C) cos (α -
β)/cos (α + β)
- (D) tan (α -
β)/tan (α + β)
6. The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,
- (A) P = R
- (B) Q = R
- (C) P = Q
- (D) None of the above is correct
7. A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be
- (A) Less than
that on BC
- (B) More than
that of BC
- (C) Equal to
that on BC
- (D) None
of these
8. The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is
- (A) 229.34 cm4
- (B) 329.34 cm4
- (C) 429.34 cm4
- (D) 529.34 cm4
9. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is
- (A) 2 J
- (B) 4 J
- (C) 6 J
- (D) 8 J
10. If a particle moves with a uniform angular velocity ‘ω’ radians/sec along the circumference of a circle of radius ‘r’, the equation for the velocity of the particle, is
- (A) v =
ω √(y² - r²)
- (B) y = ω √(y - r)
- (C) v =
ω √(r² + y²)
- (D) v =
ω √(r² - y²)
11. A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is
- (A) 70 m/sec
- (B) 75 m/sec
- (C) 80 m/sec
- (D) 90 m/sec
12. A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in
- (A) 5 sec
- (B) 8 sec
- (C) 10 sec
- (D) 20 sec
13. If two forces each equal to ‘T’ in magnitude act at right angles, their effect may be neutralized by a third force acting along their bisector in opposite direction whose magnitude will be
- (A) 2 T
- (B) 1/2 T
- (C) √2 T
- (D) 3 T
14. When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by
- (A) g(M1 + M2 sin
α)/(M1 + M2) m/sec
- (B) g(M1
- M2 sin α)/(M1 + M2) m/sec²
- (C) g(M2 + M1 sin
α)/(M1 + M2) m/sec²
- (D) g(M2 × M1 sin
α)/(M2 - M1) m/sec²
15. One end of an elastic string of natural length ‘l’ and modulus ‘X’ is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance ‘x’, held at rest and then released.
The motion is
- (A) A simple harmonic motion
- (B) A rectilinear motion with constant speed
- (C) A damped oscillatory motion
- (D) None of the above
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