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Free download in PDF Machines and Graphics Multiple Choice Questions and Answers for competitive exams. These short objective type questions with answers are very important for competitive exams like IIT-JEE, AIIMS, GATE etc. as well as Board exams. These short solved questions or quizzes are provided by Gkseries.
(1)
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is
[A]
less than (1/3) tan 0
[B]
less than (2/3) tan 0
[C]
less than (1/3) sin 6
[D]
less than (2/3) sin 6
Answer: less than (1/3) tan 0
(2)
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is
[A]
(1/3) g sinB
[B]
(2/3) g cos 9
[C]
(2/3) g sin 0
[D]
g sin 9
(3)
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is
[A]
64 J
[B]
400 J
[C]
464 J
[D]
89 J
(4)
A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?
[A]
pyramid
[B]
prism
[C]
both equally stable
[D]
None of these
(5)
The following is in unstable equilibrium
[A]
a uniform solid cone resting on a generator on a smooth horizontal plane
[B]
a uniform solid cone resting on its base on a horizontal plane
[C]
a solid cube resting on one edge
[D]
a satellite encircling the earth
Answer: a solid cube resting on one edge
(6)
The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,
[A]
P = R
[B]
Q = R
[C]
P = Q
[D]
None of the above is correct
(7)
The angles between two forces to make their resultant a minimum and a maximum respectively are
[A]
0° and 90°
[B]
180° and 90°
[C]
90° and 180°
[D]
180° and 0°
(8)
A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is
[A]
60 N
[B]
80 N
[C]
100 N
[D]
120 N
(9)
A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is
[A]
109.5 mm from A
[B]
119.5 mm from A
[C]
125.5 mm from A
[D]
132.5 mm from A
(10)
If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is
[A]
30°
[B]
45°
[C]
60°
[D]
120°
(11)
When two forces, each equal to P, act at 90° to each other, then the resultant will be
[A]
P
[B]
PV2
[C]
P/V2
[D]
2P
(12)
A block in the shape of a parallelopiped of sides lm x 2m x 3m lies on the surface. Which of the faces gives maximum stable block ?
[A]
1 m x 2 m
[B]
2 m x 3 m
[C]
1 m x 3m
[D]
equally stable on all faces
(13)
Minimum potential energy of a system will be in the position of
[A]
stable equilibrium
[B]
unstable equilibrium
[C]
neutral equilibrium
[D]
all of the above
Answer: stable equilibrium
(14)
A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is
[A]
4
[B]
6 7i
[C]
8TC
[D]
8
(15)
The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is
[A]
less than 1
[B]
equal to 1
[C]
between 1 and 2
[D]
greater than 2
(16)
A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec, . The work required to stop the hoop is
[A]
2 J
[B]
4 J
[C]
6 J
[D]
8 J
(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
[A]
(1/3) g sin0
[B]
(2/5) g sin 0
[C]
(3/7) g sin 0
[D]
(5/7) g sin0
(18)
Rate of change of angular momentum is equal to
[A]
force
[B]
torque
[C]
linear momentum
[D]
impulse
(19)
If the angular distance, 0 = 2t3 - 3t2, the angular acceleration at t = 1 sec. is
[A]
1 rad/sec2
[B]
4 rad/sec2
[C]
6 rad/sec2
[D]
12 rad/sec2
(20)
A particle moves in a straight line and its position is defined by the equation x = 6 t2 - t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is
[A]
6 m/sec
[B]
12 m/sec
[C]
24 m/sec
[D]
48 m/sec
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