Q.1
A system of coplanar forces is in equilibrium when
  • Force polygon closes
  • Funicular polygon closes
  • Both force polygon" and funicular polygon close
  • All the forces are concurrent
Q.2
Minimum pull in a suspended cable with supports at two ends is equal to
  • Horizontal thrust
  • Support reactions
  • Resultant of horizontal thrust and support reaction
  • Half the weight of the cable
Q.3
The following statement is one of the laws of Dynamic friction
  • The force of friction always acts in a direction opposite to that in which a body is moving
  • The magnitude of the kinetic friction bears a constant ratio to the normal reaction between two surfaces. The ratio being slightly less than that in the case of limiting friction
  • For moderate speeds the force of friction remains constant but decreases slightly with the increase of speed
  • All the above
Q.4
The dimensions of Gravitational Universal constant ‘G’ are
  • M-1L2r2
  • M-1L3r2
  • M-2L3T2
  • M1L3T2
Q.5
The centre of gravity of a quadrant of a circle lies along its central radius at a distance of
  • 0.2 R
  • 0.4 R
  • 0.3 R
  • 0.6 R
Q.6
If a particle is projected inside a horizontal tunnel which iscm high with a velocity ofm per sec, the angle of projection for maximum range, is
  • 8°
  • 9°
  • 10°
  • 11°
  • E. 12°.
Q.7
A uniform rod 9 m long weighingkg is pivoted at a point 2 m from one end where a weight ofkg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclinationwith horizontal, is
  • 40 kg
  • 60 kg
  • 10 kg
  • 100 kg.
Q.8
The C.G. of a right circular cone lies on its axis of symmetry at a height of
  • h/2
  • h/3
  • h/4
  • h/5
  • E. h/6.
Q.9
The mechanical advantage of an ideal machine isFor moving the local through 2 m, the effort moves through
  • 0.02 m
  • 2 m
  • 2.5 m
  • 20 m.
Q.10
When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as
  • imaginary work
  • negative work
  • virtual work
  • none of these.
Q.11
If three rigid rods are hinged together to form a triangle and are given rotary as well as translatory motion, the number of instantaneous centres of the triangle, will be
  • 1
  • 2
  • 3
  • 4
  • E. 5.
Q.12
If a body moves in such a way that its velocity increases by equal amount in equal intervals of time, it is said to be moving with
  • a uniform retardation
  • a uniform acceleration
  • a variable acceleration
  • a variable retardation
  • E. none of these.
Q.13
The unit of Moment of Inertia of a body, is
  • m
  • m2
  • m3
  • m4
  • E. none of these.
Q.14
A projectile is thrown at an angle a to the horizontal with α velocity v. It will have the maximum centripetal acceleration
  • at the start
  • at the top of the trajectory
  • as it strikes the ground
  • else where.
Q.15
The locus of the instantaneous centre of a moving rigid body, is
  • straight line
  • involute
  • centroid
  • spiral.
Q.16
The equation of motion of a particle starting from rest along a straight line is x = t3 - 3t2 +The ratio of the accelerations after 5 sec and 3 sec will be
  • 2
  • 3
  • 4
  • 5
Q.17
At a given instant ship A is travelling at 6 km/h due east and ship B is travelling at 8 km/h due north. The velocity of B relative to A is
  • 7 km/hrs
  • 2 km/hrs
  • 1 km/hrs
  • 10 km/hrs
  • E. 14 km/hrs.
Q.18
The forces which meet at one point and have their lines of action in different planes are called
  • coplaner non-concurrent forces
  • non-coplaner concurrent forces
  • non-coplaner non-current forces
  • intersecting forces
  • E. none of these.
Q.19
The centre of gravity of a triangle is at the point where three
  • medians of the triangle meet
  • perpendicular bisectors of the sides of the triangle meet
  • bisectors of the angle of the triangle meet
  • none of these.
Q.20
A hoop of radius 3 m weighskg. It rolls along a horizontal floor so that at its centre of mass has a speed ofmm/sec. The work required to stop the hoop is
  • 2 J
  • 4 J
  • 6 J
  • 8 J
Q.21
The following is not a law of static friction:
  • The force of friction always acts in a direction opposite to that in which the body tends to move
  • The force of friction is dependent upon the area of contact
  • The force of friction depends upon the roughness of the surface
  • The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces
Q.22
M.I. of solid sphere, is
  • ⅔ Mr²
  • ½ Mr²
  • Mr²
  • πr4/2
Q.23
The motion of a particle is described by the relation x = t²-+where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t =seconds would be
  • Zero
  • 30 m
  • 50 m
  • 60 m
Q.24
Two forces act an angle of 120°. If the greater force iskg and their resultant is perpendicular to the smaller force, the smaller force is
  • 20 kg
  • 25 kg
  • 30 kg
  • 35 kg
Q.25
When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are
  • Straight line and parabola
  • Straight line and circle
  • Circle and straight line
  • Circle and parabola
Q.26
A cable loaded withkN/m of span is stretched between supports in the same horizontal linem apart. If the central dip ism, then the maximum and minimum pull in the cable respectively are
  • 1346.3 kN and 1500 kN
  • 1436.2 kN and 1250 kN
  • 1346.3 kN and 1250 kN
  • 1436.2 kN and 1500 kN
Q.27
The member which does not carry zero force in the structure shown in below figure, is
  • ED
  • DC
  • BC
  • BD
Q.28
The vertical reaction at the support ‘A’ of the structure shown in below figure, is
  • 1 t
  • 2 t
  • 3 t
  • 3.5 t
Q.29
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of
  • (h/3) × [(b + 2a)/(b + a)]
  • (h/3) × [(2b + a)/(b + a)]
  • (h/2) × [(b + 2a)/(b + a)]
  • (h/2) × [(2b + a)/(b + a)]
Q.30

Ball A of massg moving on a smooth horizontal table with a velocity ofm/s hits an identical stationary ball B on the table. If the impact is perfectly elastic, the velocity of the ball B just after impact would be

  • zero
  • 5 m/sec
  • 10 m/sec
  • none of these.
0 h : 0 m : 1 s