Applied Mechanics and Graphic Statics

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 ?

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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 ?

A. sphere with greater rotational energy at bottom than cylinder
B. sphere with lesser rotational energy at bottom than cylinder (Ccrrect)
C. cylinder with greater rotational energy at bottom than sphere
D. both reach the bottom simultaneously with equal rotational energy at bottom

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________________?

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A solid cylinder of mass M and radius R rolls down an inclined plane without slipg. 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
where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal

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_________________?

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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 (Correct)
C. 24 m/sec
D. 48 m/sec

A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?

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A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipg ?

1) 1.0 in from the wall
2) 1.732 m from the wall
3) 1.0 m above the floor
4) 1.732 m above the floor
The correct answer is?
A. (1) and (3)
B. (1) and (4)
C. (2) and (3)
D. (2) and (4)