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

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.
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(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
(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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