Q.1
‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation
Q.2
Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:
Applied Mechanics and Graphic Statics mcq question image
Q.3
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is
Q.4
The length of a Second's pendulum, is
Q.5
For a simple pendulum, the period of one oscillation is
Q.6
Maximum efficiency of a screw jack for the angle of friction θ, is
Q.7
For perfectly elastic bodies, the value of coefficient of restitution is
Q.8
Engineer's units of force, is
Q.9
If y is force and x is velocity, then dimensions of —=r are dx2
Q.10
The unit of rotational inertia of a body in C.G.S system is
Q.11
Power can be expressed as
Q.12
A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan"1 x, where x is (Assume g = 10 m/sec²)
Q.13
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)
Q.14
The ratio of unit of force in gravitational system to that in absolute system is (where ‘g’ is acceleration due to gravity)
Q.15
In a lifting machine with efficiency 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is
Q.16
The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is
Q.17
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)
Q.18
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
Q.19
If a particle is projected inside a horizontal tunnel which is 554 cm high with a velocity of 60 m per sec, the angle of projection for maximum range, is
Q.20
In the structure shown in below figure, the member which carries zero force, is
Applied Mechanics and Graphic Statics mcq question image
Q.21
A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?
Q.22
‘u₁’ and ‘u₂’ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are ‘v₁’ and ‘v₂’. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by
Q.23
A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if
Q.24
A point subjected to a number of forces will be in equilibrium, if
Q.25
Kinetic friction may be defined as
Q.26
Energy may be defined as
Q.27
A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)
Q.28
A block of weight 50 kg is placed on a horizontal plane. When a horizontal force of 18 kg is applied, the block is just on the point of motion. The angle of friction is
Q.29
In a simple harmonic motion, the position of equilibrium is always
Q.30
A satellite is said to move in a synchronous orbit if it moves at an altitude of 36,000 km with a maximum velocity of about
0 h : 0 m : 1 s