Q.1
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.2
The member which does not carry zero force in the structure shown in below figure, is
  • ED
  • DC
  • BC
  • BD
Q.3
A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal linem apart. If central dip ism, the minimum tension in the cable, will be
  • 200 tonnes at the centre
  • 500 tonnes at the centre
  • 200 tonnes at the right support
  • 200 tonnes at the left support.
Q.4
Time period and length of a second’s pendulum respectively are
  • 1 sec and 99.4 cm
  • 1 sec and 92.7 cm
  • 2 sec and 99.4 cm
  • 2 sec and 92.7 cm
Q.5
The angles between two forces to make their resultant a minimum and a maximum respectively are
  • 0° and 90°
  • 180° and 90°
  • 90° and 180°
  • 180° and 0°
Q.6
The Law of Polygon of Forces states that
  • if a polygen representing the forces acting at point in a body is closed, the forces are in equilibrium
  • if forces acting on a point can be represented in magnitde and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by the closing side of the polygon
  • if forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order
  • if forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium.
Q.7
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.8
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.9
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.10
The dimensions of Gravitational Universal constant ‘G’ are
  • M-1L2r2
  • M-1L3r2
  • M-2L3T2
  • M1L3T2
Q.11
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.12
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.13
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.14
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.15
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.16
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.17
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.18
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.19
The unit of Moment of Inertia of a body, is
  • m
  • m2
  • m3
  • m4
  • E. none of these.
Q.20
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.21
The locus of the instantaneous centre of a moving rigid body, is
  • straight line
  • involute
  • centroid
  • spiral.
Q.22
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.23
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.24
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.25
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.26
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.27
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.28
M.I. of solid sphere, is
  • ⅔ Mr²
  • ½ Mr²
  • Mr²
  • πr4/2
Q.29
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.30
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
0 h : 0 m : 1 s