Two uniform solid spheres having unequal masses and unequal radii are released from rest from the same height on a rough incline. If the spheres roll without slipping,
A. the heavier sphere reaches the bottom first
B. the bigger sphere reaches the bottom first
C. the two spheres reach the bottom together
D. the information given is not sufficient to tell which sphere will reach the bottom first.
When the solid sphere rolls without slipping, its linear acceleration is given as,
θ is the angle of inclination with the horizontal plane.
Clearly the linear acceleration is free of mass and the radius. So both the spheres will have equal
accelerations and they will reach the bottom together
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A man of mass 70 kg stands on a weighing scale in a lift which is moving
A. upwards with a uniform speed of 10 m s-1,
B. downwards with a uniform acceleration of 5 m s-2,
C. upwards with a uniform acceleration of 5 m s-2.
What would be the readings on the scale in each case?
D. What would be the reading if the lift mechanism failed and it hurtled down freely under gravity?NCERT - Physics Part-I
A helicopter of mass 1000 kg rises with a vertical acceleration of 15 m s-2. The crew and the passengers weigh 300 kg. Give the magnitude and direction of the
A. force on the floor by the crew and passengers,
B. action of the rotor of the helicopter on the surrounding air,
C. force on the helicopter due to the surrounding air.NCERT - Physics Part-I
A stone of mass m tied to the end of a string revolves in a vertical circle of radius R.
The net forces at the lowest and highest points of the circle directed vertically downwards are: [Choose the correct alternative]
T1 and v1 denote the tension and speed at the lowest point. T2 and v2 denote corresponding values at the highest point.NCERT - Physics Part-I