Practice Test: Question Set - 15
1. The bellow figure shows the two equal forces at right angles acting at a point. The value of force ‘R’ acting along their bisector and in opposite direction is
- (A) P/2
- (B) 2P
- (C) √2 × P
- (D) P/√2
2. A lead ball with a certain velocity is made to strike a wall, it falls down, but rubber ball of same mass and with same velocity strikes the same wall, it rebounds. Select the correct reason from the following:
- (A) Both the
balls undergo an equal change in momentum
- (B) The
change in momentum suffered by rubber ball is more than the lead ball
- (C) The
change in momentum suffered by rubber ball is less than the lead ball
- (D) None
of the above
3. In order to completely specify angular displacement by a vector, it must fix
- (A) Direction
of the axis of rotation
- (B) Magnitude
of angular displacement
- (C) Sense
of angular displacement
- (D) All of these
4. The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is
- (A) 9 cm4
- (B) 12 cm4
- (C) 16 cm4
- (D) 20 cm4
5. A framed structure is perfect if it contains members equal to
(Where, n = number of joints in a
frame)
- (A) 2n³
- (B) 2n
- (C) n²
- (D) 3n²
6. The motion of a wheel of a car is
- (A) Purely
translation
- (B) Purely
rotational
- (C) Combined
translation and rotational
- (D) None
of these
7. A smooth cylinder lying on its convex surface remains in __________ equilibrium.
- (A) Stable
- (B) Unstable
- (C) Neutral
- (D) None
of these
8. The velocity ratio in case of an inclined plane inclined at angle 'θ' to the horizontal and weight being pulled up the inclined plane by vertical effort is
- (A) sinθ
- (B) cosθ
- (C) tanθ
- (D) cosecθ
9. Forces are called concurrent when their lines of action meet in
- (A) One point
- (B) Two points
- (C) Plane
- (D) Perpendicular planes
10. The range of a projectile is maximum, when the angle of projection is
- (A) 30°
- (B) 45°
- (C) 60°
- (D) 90°
11. When a rigid body is suspended vertically, and it oscillates with a small amplitude under the action of the force of gravity, the body is known as
- (A) Simple
pendulum
- (B) Compound
pendulum
- (C) Torsional
pendulum
- (D) Second's
pendulum
12. The potential energy of a vertically raised body is __________ the kinetic energy of a vertically falling body.
- (A) Equal to
- (B) Less
than
- (C) Greater than
- (D) None
of these
13. The acceleration of a particle moving with simple harmonic motion, at any instant is given by
- (A) ω.y
- (B) ω2.y
- (C) ω2/y
- (D) ω3.y
14. The units of moment of inertia of mass are
- (A) kg-m²
- (B) m²/kg
- (C) kg/m²
- (D) kg/m
15. The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is
- (A) a =
α/ r
- (B) a =
α.r
- (C) a = r /
α
- (D) None of
these
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