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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 ?

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 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 ? Read More »

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________________?

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 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________________? Read More »

Applied Mechanics and Graphic Statics

A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________?

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

A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________? Read More »

Applied Mechanics and Graphic Statics

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 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 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_________________? Read More »

Applied Mechanics and Graphic Statics

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 ?

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)

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 ? Read More »

Applied Mechanics and Graphic Statics

The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________?

The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________?

A. 36°
B. 45°
C. 56°
D. 76✔

The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________? Read More »

Applied Mechanics and Graphic Statics