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 (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

Applied Mechanics and Graphic Statics
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 (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

(2/3) g sin 0

g sin 9

(1/3) g sinB

(2/3) g cos 9

(2/3) g sin 0

g sin 9

(1/3) g sinB

(2/3) g cos 9

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Applied Mechanics and Graphic Statics
The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to

Original velocity in the opposite direction

Original velocity in the same direction

Half the original velocity in the opposite direction

Half the original velocity in the same direction

Original velocity in the opposite direction

Original velocity in the same direction

Half the original velocity in the opposite direction

Half the original velocity in the same direction

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Applied Mechanics and Graphic Statics
A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The mechanical advantage of the lifting machine is

18

26

15

20

18

26

15

20

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Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

200 J

50 J

400 J

150 J

200 J

50 J

400 J

150 J

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Applied Mechanics and Graphic Statics
‘P’ is the force acting on a body whose mass is ‘m’ and acceleration is ‘f’. The equation P - mf= 0, is known as

Equation of dynamic equilibrium

None of these

Equation of dynamics

Equation of statics

Equation of dynamic equilibrium

None of these

Equation of dynamics

Equation of statics

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Applied Mechanics and Graphic Statics
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, theni. a force is required to move the body upwardsii. a force is required to move the body downwardiii. the body will not be in equilibriumThe correct answer is

only (i)

both (i) and (ii)

only (ii)

both (i) and (iii)

only (i)

both (i) and (ii)

only (ii)

both (i) and (iii)

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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics 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 (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

Applied Mechanics and Graphic Statics The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to

Applied Mechanics and Graphic Statics A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The mechanical advantage of the lifting machine is

Applied Mechanics and Graphic Statics A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

Applied Mechanics and Graphic Statics ‘P’ is the force acting on a body whose mass is ‘m’ and acceleration is ‘f’. The equation P - mf= 0, is known as

Applied Mechanics and Graphic Statics
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 (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

Applied Mechanics and Graphic Statics
The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to

Applied Mechanics and Graphic Statics
A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The mechanical advantage of the lifting machine is

Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

Applied Mechanics and Graphic Statics
‘P’ is the force acting on a body whose mass is ‘m’ and acceleration is ‘f’. The equation P - mf= 0, is known as