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Online Quiz Applied Mechanics and Graphic Statics test1
Online Quiz Applied Mechanics and Graphic Statics test1
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1. A cube on a smooth horizontal surface
cannot be in stable equilibrium
cannot be in neutral equilibrium
cannot be in unstable equilibrium
can be in any of these states
2. The following is in unstable equilibrium
a uniform solid cone resting on a generator on a smooth horizontal plane
a uniform solid cone resting on its base on a horizontal plane
a solid cube resting on one edge
a satellite encircling the earth
3. 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 ?
1 m x 2 m
2 m x 3 m
1 m x 3m
equally stable on all faces
4. A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?
pyramid
prism
both equally stable
none of the above
5. Minimum potential energy of a system will be in the position of _____.
stable equilibrium
unstable equilibrium
neutral equilibrium
all of the above
6. A rigid body is in a stable equilibrium if the application of any force
can raise the CG of the body but can not lower it
tends to lower the CG of the body
neither raises nor lowers the CG of the body
none of the above
7. Which of the following represents the state of neutral equilibrium ?
a cube resting on one edge
a smooth cylinder lying on a curved surface
a smooth cylinder lying on a convex surface
none of the above
8. Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis ?
disc with larger density
disc with smaller density
both discs will have same rotational inertia
none of the above
9. 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 ______.
64 J
400 J
464 J
89 J
10. 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
4
6 7i
8TC
8
11. The angular speed of a car while taking a circular turn of radius 100m at 36 km/hour, is _____.
0.1 radian/sec
1 radian/sec
100 radian/sec
1000 radian/sec
12. The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is _____.
less than 1
equal to 1
between 1 and 2
greater than 2
13. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first ?
sphere with greater rotational energy at bottom than cylinder
sphere with lesser rotational energy at bottom than cylinder
cylinder with greater rotational energy at bottom than sphere
both reach the bottom simultaneously with equal rotational energy at bottom
14. 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 ______.
2 J
4 J
6 J
8 J
15. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of centre of mass of rolling cylinder is ______.
(1/3) g sinB
(2/3) g cos 9
(2/3) g sin 0
g sin 9
16. A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is
(1/3) g sin 0
(2/5) g sin 0
(3/7) g sin 0
(5/7) g sin 0
17. A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is _____.
less than (1/3) tan 0
less than (2/3) tan 0
less than (1/3) sin 6
less than (2/3) sin 6
18. Rate of change of angular momentum is equal to _____.
force
torque
linear momentum
impulse
19. If the angular distance, 0 = 2t3 - 3t2, the angular acceleration at t = 1 sec. is _____.
1 rad/sec2
4 rad/sec2
6 rad/sec2
12 rad/sec2
20. A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is
n rpm
n/2 rpm
n/4 rpm
2n rpm
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