IIT-JEE-Physics-Screening-2002

1. A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector vector a is correctly shown in

2. A wooden block, with a coin placed on its top, floats in water as shown in figure. The distance l and h are shown there. After some time the coin falls into the water. Then
force

(A)       l decreases and h increases
(B)       l increases and h decreases
(C)       Both l and h increase
(D)       Both l and h decrease

3.         A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder are
(A)       Up the incline while ascending and down the incline while descending.
(B)       Up the incline while ascending as well as descending.
(C)       Down the incline while ascending and up the incline while descending.
(D)       Down the incline while ascending as well as descending.

4.         A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its centre. A tortoise is sitting at the edge of the platform. Now the platform is given an angular velocity ω₀. When the tortoise move along a chord of the platform with a constant velocity (with respect to the platform ), the angular velocity of the platform ω_t) will vary with time t as

angular-velocity

5.         Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives a velocity of 14 m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is
(A)    30m/s
(B)    20m/s
(C)     10m/s
(D)     5m/s

λ) 2λ 2λ/3 λ/3 λ

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