Question Text
Question 1 :
A block of mass {tex} \mathrm m {/tex} is placed on a smooth wedge of inclination {tex} \theta {/tex}. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block (g is acceleration due to gravity) will be
Question 2 :
The force required to just move a body up the inclined plane is double the force required to just prevent the body from sliding down the plane. The coefficient of friction is {tex} \mu . {/tex} The inclination {tex} \theta {/tex} of the plane is
Question 3 :
The coefficient of static friction {tex} \mu _ { \mathrm { s } } , {/tex} between block {tex} \mathrm { A } {/tex} of mass {tex} 2 \mathrm { kg } {/tex} and the table as shown in the figure is {tex} 0.2 . {/tex} What would be the maximum mass value of block {tex} \mathrm { B } {/tex} so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless. {tex} \left( \mathrm { g } = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right) {/tex}<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5df345faec37fa6b8da4d8a3"><br>
Question 4 :
Two bodies of masses {tex} 1 \mathrm { kg } {/tex} and {tex} 2 \mathrm { kg } {/tex} moving with same velocities are stopped by the same force. Then the ratio of their stopping distances is
Question 5 :
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 6 :
An aircraft executes a horizontal loop with a {tex} \mathrm { an } {/tex} speed of {tex} 150 \mathrm { m } / \mathrm { s } {/tex} with its wings banked at an angle of {tex} 12 ^ { \circ } . {/tex} The radius of the loop is: {tex} \left( \mathrm { g } = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right) {/tex}
Question 7 :
A bridge is in the from of a semi-circle of radius {tex} 40 \mathrm { m } {/tex}. The greatest speed with which a motor cycle can cross the bridge without leaving the ground at the highest point is {tex} \left( \mathrm { g } = 10 \mathrm { m } \mathrm { s } ^ { - 2 } \right) {/tex} (frictional force is negligibly small)
Question 9 :
A ball of mass {tex} 0.2 \mathrm { kg } {/tex} thrown vertically upwards by applying a force by hand. If the hand moves {tex} 0.2 \mathrm { m } {/tex} while applying the force and the ball goes upto {tex} 2 \mathrm { m } {/tex} height further, find the magnitude of the force. (Consider {tex} \left. \mathrm { g } = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right) . {/tex}
Question 10 :
Rocket engines lift a rocket from the earth surface because hot gas with high velocity