A solid cylinder rolls up an inclined plane without slipping. If the incline makes an angle of to the horizontal and the coefficient of static friction is
, find its acceleration. Also determine the angle of the inclined plane at which the object will start to slip.
An L-shaped object of uniform density is hung over a nail so that it is free to rotate. Determine the angle that the long side of the object makes with the vertical. The long side of the L-shaped object is given to be twice as long as the short side
See Answer →A stationary ball, with a mass of , is struck by an identical ball moving at
. After the collision, the second ball moves
to the left of its original direction. The stationary ball moves
to the right of the moving ball's original direction. What is the velocity of each ball after the collision?
The distance between the oxygen molecule and each of the hydrogen atoms in a water molecule is
and the angle between the two oxygen-hydrogen bonds is
. Treating the atoms as particles, find the centre of mass of the system
A block of mass slides from rest at a height of
down to a horizontal surface where it passes over a
rough patch. After crossing this patch it climbs up another incline which is at an angle of
to the ground. The rough patch has a coefficient of kinetic friction
. What height does the block reach on the incline before it comes to rest?
A force is acting on a particle along the x-axis. Determine the work done by the force in moving the particle from
to
.
A ball of mass rolling to the right with a speed of
, collides head-on with a spring with a spring constant of
. Determine the maximum compression of the spring and the speed of the ball when the compression of the spring is
.
What is the maximum torque exerted by a person riding a bike, if the rider puts all his weight on each pedal when climbing a hill? The pedals rotate in a circle of radius
.
When a high diver wants to execute a flip in midair, she draws her legs up against her chest. Why does this make her rotate faster? What should she do when she wants to come out of her flip?
See Answer →A ball has an angular velocity of counterclockwise. Some time later, after rotating through a total angle of 4.5 radians, the ball has an angular velocity of
clockwise. Determine the angular acceleration, the average angular velocity and how much time it takes for the ball to attain this velocity.
A 2400 W engine pulls a 200 kg block at constant speed up a 12.0 m long, 25.0° incline. Determine long does it takes to cover this distance.
See Answer →The speed of an aeroplane is . The engines take in 80 kg of air per second and mix it with 40 kg of fuel. This mixture is expelled after it ignites and it moves at a velocity of
relative to the aeroplane. Calculate the thrust of the engine.
A ball of mass , starting from rest, falls a height of 4.0 m and then collides with the ground. The ball bounces up to a height of 2.0 m. The collision with the ground takes place over a time
. Determine (i) the momentum of the ball immediately before the collision, (ii) the momentum of the ball immediately after the collision and (iii) the average force of the ground on the ball.
A massless rope is stretched horizontally between two supports that are 3.0 m apart. When an object of weight 3200 N is hung at the center of the rope, the rope is observed to sag by 50 cm. Calculate the tension in the rope
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With reference to any current social or brand campaign in India, discuss how online branding and perception management techniques are used to influence public opinion.
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Study any one PR crisis involving an Indian organisation and evaluate the public relations tools and strategies used for image restoration.
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Observe any one Indian digital influencer and analyse how persuasive communication techniques are used to shape audience attitudes or purchase decisions.
See Answer →Choose any recent Indian advertisement and critically examine the advertising appeal used and its effectiveness in influencing consumer behavior.
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Select any Indian brand of your choice and analyse how it uses integrated communication strategies across different media platforms to persuade its target audience.
See Answer →Discuss the qualities of a good audio programme presenter with suitable examples.
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