The unit of impulse, is
-
kg.m/sec -
kg.m/sec3 -
kg.m/sec2 -
kg.m2/sec.
The horizontal reaction at the support A of the structure shown in below figure, is 
-
zero -
1 t -
2 t -
3 t -
2.5 t.
From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The c.g. of the remainder is at a height of
-
4.5 cm -
5.0 cm -
5.25 cm -
5.5 cm.
The phenomenon of collision of two elastic bodies takes place because bodies
-
immediately after collision come momentarily to rest -
tend to compress each other till they are compressed maximum possible -
attempt to regain its original shape due to their elasticities -
all the above.
M.I. of solid sphere, is
-
2/3 Mr2 -
2/5 Mr2 -
Mr2 -
πr4/2 -
1/2 Mr2.
If two equal forces of magnitude P act at an angle θ, their resultant, will be
-
P cos θ/2 -
2P sin θ/2 -
P tan θ/2 -
2P cos θ/2 -
P sin θ/2.
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
-
ω2(l cos φ + r sin φ tan θ) -
ω2(l sin φ + r cos φ tan θ) -
ω(l sin φ + r cos φ tan θ) -
ω2(l sin φ - r cos θ tan φ).
From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The c.g. of the remainder is at a height of
-
4.5 cm -
5.0 cm -
5.25 cm -
5.5 cm.
When a body slides down an inclined surface, the acceleration (f) of the body, is given by
-
f = g -
f = g sin θ -
f = g cos θ -
f = g tan θ.
If a ball which is dropped from a height of 2.m on a smooth floor attains the height of bounce equal to 1.m, the coefficient of the restitution between the ball and floor, is
-
0.25 -
0.50 -
0.67 -
0.33 -
0.75
When a body slides down an inclined surface, the acceleration (f) of the body, is given by
-
f = g -
f = g sin θ -
f = g cos θ -
f = g tan θ.
The point about which combined motion of rotation and translation of a rigid body takes place, is known as
-
Virtual centre -
Instantaneous centre -
Instantaneous axis -
Point of rotation -
All the above.
Periodic time of body moving with simple harmonic motion, is
-
directly proportional to its angular velocity -
directly porportional to the square of its angular velocity -
inversly proportional to the square of its angular velocity -
inversely proportional to its angular velocity.
The Centre of gravity of axx 5 cm T section from its bottom, is
-
7.5 cm -
5.0 cm -
8.75 cm -
7.85 cm -
none of above.
If the resultant of two forces P and Q acting at an angle θ makes an angle α with P, then tan α equals
The unit of moments in M.K.S system, is
-
kgm -
kg/m2 -
kg/sec2 -
kg/sec.
Periodic time of body moving with simple harmonic motion, is
-
directly proportional to its angular velocity -
directly porportional to the square of its angular velocity -
inversly proportional to the square of its angular velocity -
inversely proportional to its angular velocity.
A body of weightg appears to weightg when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was
-
0.5 m/sec2 -
0.7 m/sec2 -
1 m/sec2 -
1 cm/sec2.
If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is
The velocity ratio of an inclined plane of inclination θ with horizontal for lifting a load is
-
sin θ -
cos θ -
tan θ -
sec θ -
cosec θ.
The piston of a steam engine moves with a simple harmonic motion. The crank rotatesr.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is
-
5.88 m/sec -
8.88 m/sec -
10.88 m/sec -
12.88 m/sec.
Newton's law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation
-
is directly proportional to their velocity of approach -
is inversely proportional to their velocity of approach -
bears a constant ratio to their velocity of approach -
is equal to the sum of their velocities of approach.
A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be
A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be
The practical units of work, is
-
erg -
joule -
Newton -
dyne.
The practical units of work, is
-
erg -
joule -
Newton -
dyne.
Pick up the correct statement from the following. The kinetic energy of a body
-
before impact is equal to that after impact -
before impact is less than that after impact -
before impact is more than that after impact -
remains constant -
none of these.
A particle is dropped from the top of a towerm high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is
-
16 m/sec -
18 m/sec -
20 m/sec -
22 m/sec.
On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts
-
downwards at its upper end -
upwards at its upper end -
perpendicular to the wall at its upper end -
zero at its upper end -
none of these.
For a self-locking machine, the efficiency should be
-
less than 60% -
50% -
more than 50% -
None of these.