Machines and Graphics MCQs | Machines and Graphics Multiple Choice Questions and Answers

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Questions
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

Answer: (2/3) g sin 0
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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

Answer: 464 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

Answer: pyramid
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

Answer: Q = R
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°

Answer: 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

Answer: 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

Answer: 109.5 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°

Answer: 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

Answer: PV2
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

Answer: 2 m x 3 m
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

Answer: 8TC
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

Answer: less than 1
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

Answer: 4 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

Answer: (5/7) g sin0
18 Rate of change of angular momentum is equal to
A force
B torque
C linear momentum
D impulse

Answer: torque
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

Answer: 6 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

Answer: 12 m/sec
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