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Applied Mechanics And Graphic Statics MCQs

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101

A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

Option A: 15°

Option B: 30°

Option C: 45°

Option D: 75°

Correct Answer: 15° ✔


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102

If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are__________?

Option A: 0 and 5 m/sec

Option B: 5 m/sec and 0

Option C: 5 V3 m/sec and 0

Option D: 5 and 5V3 m/sec

Correct Answer: 5 m/sec and 0 ✔


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103

A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about__________?

Option A: 1/4

Option B: 1/3

Option C: 1/2

Option D: 1/5

Correct Answer: 1/4 ✔


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104

The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is__________?

Option A: 98 m

Option B: 490 m

Option C: 980 m

Option D: 1960 m

Correct Answer: 980 m ✔


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105

For a given velocity of a projectile, the range is maximum when the angle of projection is__________?

Option A: 30°

Option B: 45°

Option C: 90°

Option D: 0°

Correct Answer: 45° ✔


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106

When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are__________?

Option A: straight line and parabola

Option B: straight line and circle

Option C: circle and straight line

Option D: circle and parabola

Correct Answer: circle and straight line ✔


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107

The angular speed of a car while taking a circular turn of radius 100m at 36 km/hour, is__________?

Option A: 0.1 radian/sec

Option B: 1 radian/sec

Option C: 100 radian/sec

Option D: 1000 radian/sec

Correct Answer: 0.1 radian/sec ✔


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108

The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is__________?

Option A: less than 1

Option B: equal to 1

Option C: between 1 and 2

Option D: greater than 2

Correct Answer: less than 1 ✔


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109

A flywheel of moment of inertia 20 kg-m” is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian persecond is__________?

Option A: 1/2

Option B: 3/2

Option C: 2

Option D: 3

Correct Answer: 3/2 ✔


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110

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__________?

Option A: n rpm

Option B: n/2 rpm

Option C: n/4 rpm

Option D: 2n rpm

Correct Answer: n/2 rpm ✔


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111

Rate of change of angular momentum is equal to__________?

Option A: force

Option B: torque

Option C: linear momentum

Option D: impulse

Correct Answer: torque ✔


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112

A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is__________?

Option A: (1/3) g sin0

Option B: (2/5) g sin 0

Option C: (3/7) g sin 0

Option D: (5/7) g sin0

Correct Answer: (5/7) g sin0 ✔


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113

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__________?

Option A: 2 J

Option B: 4 J

Option C: 6 J

Option D: 8 J

Correct Answer: 4 J ✔


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114

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__________?

Option A: 64 J

Option B: 400 J

Option C: 464 J

Option D: 89 J

Correct Answer: 64 J ✔


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115

Minimum potential energy of a system will be in the position of__________?

Option A: stable equilibrium

Option B: unstable equilibrium

Option C: neutral equilibrium

Option D: all of the above

Correct Answer: stable equilibrium ✔


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116

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 ?

Option A: 1 m x 2 m

Option B: 2 m x 3 m

Option C: 1 m x 3m

Option D: equally stable on all faces

Correct Answer: 2 m x 3 m ✔


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117

A cube on a smooth horizontal surface__________?

Option A: cannot be in stable equilibrium

Option B: cannot be in neutral equilibrium

Option C: cannot be in unstable equilibrium

Option D: can be in any of these states

Correct Answer: can be in any of these states ✔


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118

When two forces, each equal to P, act at 90° to each other, then the resultant will be__________?

Option A: P

Option B: PV2

Option C: P/V2

Option D: 2P

Correct Answer: P ✔


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119

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__________?

Option A: 109.5 mm from A

Option B: 119.5 mm from A

Option C: 125.5 mm from A

Option D: 132.5 mm from A

Correct Answer: 109.5 mm from A ✔


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