Question 1 :
A block is placed on a rought inclined plane. The angle of the incline, {tex} \theta , {/tex} is slowly increased from the horizontal position. At a certain angle, the block starts to slide along the plane. The angle of the incline is increased further.<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101e7b4faa335027dc7b7a"><br>Which of the above graphs correctly depicts the variation of the frictional force, {tex} f {/tex}, exerted by the plane on the block, as a function of {tex} \theta ? {/tex} (Assume that the block does not topple.)

Question 2 :
A body of mass {tex} 2 \mathrm { kg } {/tex} is placed on a horizontal surface having kinetic friction 0.4 and static friction 0.5 . If the force applied on the body is {tex} 2.5 \mathrm { N } , {/tex} then the frictional force acting on the body will be {tex} \left[ \mathrm { g } = 10 \mathrm { ms } ^ { - 2 } \right] {/tex}

Question 3 :
In the given figure, a smooth parabolic wire track lies in the {tex} x y - {/tex} plane (vertical). The shape of track is defined by the equation {tex} y = x ^ { 2 } . {/tex} A ring of mass m which can slide freely on the wire track, is placed at the position {tex} \mathrm { A } ( 1,1 ) {/tex}. The track is rotated with constant angular speed {tex} \omega {/tex} such there is no relative slipping between the ring and the track. The value of {tex} \omega {/tex} is<br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/NEET/5e1057b34faa335027dc7c47' />

Question 4 :
A particle of mass {tex} \mathrm { m } {/tex} is moving with velocity {tex} \mathrm { v } _ { 1 } , {/tex} it is given an impulse such that the velocity becomes {tex} \mathrm { v } _ { 2 } . {/tex} Then magnitude of impulse is equal to

Question 5 :
A uniform rod {tex} A B {/tex} of length {tex} 3 r {/tex} remains in equilibrium on a hemispherical bowl of radius {tex} r {/tex} as shown in figure. Ignoring friction, the inclination of the rod {tex} \theta {/tex} with the horizontal is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101e474faa335027dc7b4c"><br>

Question 6 :
A man is standing at the centre of frictionless pond of ice. How can he get himself to the shore?

Question 7 :
In the diagram shown, friction is completely absent. If a force {tex} F {/tex} has been applied on the wedge such that it moves with a constant velocity than value of normal reaction {tex} N {/tex} is<br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/NEET/5e105321de596850506e3835' />

Question 8 :
A mass {tex} m {/tex} is revolving in a vertical circle at the end of a string of length {tex} 20 \mathrm { cm } . {/tex} By how much does the tension of the string at the lowest point exceed the tension at the top most point?

Question 9 :
Sand is being dropped on a conveyor belt at the rate of M kg/s. The force (in N) necessary to keep the belt moving with a constant velocity of v m/s will be:

Question 10 :
A player stops a football weighting {tex}0.5{/tex} kg which comes flying towards him with a velocity of {tex} 10 \mathrm { m } / \mathrm { s } {/tex}. If the impact lasts for {tex} 1 / 50 \mathrm { th } {/tex} sec. and the ball bounces back with a velocity of {tex} 15 \mathrm { m } / \mathrm { s } {/tex}, then the average force involved is