A block A of mass m is lying on a rough horizontal surface.

A mass of 2 9 kg is suspended from a string of length 50cm and is rest Another body of mass 100g which is moving horizontally with a velocity of 150 m s strikes it After striking the two bodies combine together Tension in the string when it is an angle of 60 with the vertical is g 10m s 2 9 kg 50cm deman f 100g 150 m sed eu sud zaua tah ar zini aegu en uf c cala 60 g 10m s A 135N B 125N C 140N D 90N

Center of Mass 21 A sphere of mass m 2kg collides with a sphere of mass m 3kg which is at rest Mass m will move at right angle to the line joining centres at the time of collision if the coefficient of restitution is B 1 1 2 A 9 C 2 3 D 2 WIN

2 If a particle moves along a straight line whose equation is y mx then what will be its angular momen about the origin Explain your answer which are meshed together have radii of 9 50 cm and 0 15 cm The number of revolut

4 A thin uniform wire is bent to form the two equal sides AB and AC of triangle ABC where AB AC 5 cm The third side BC of length 6cm is made from uniform wire of twice the linear mass density of the first The distance of centre of mass from A is 34 11 34 11 34 9 A cm B cm C cm D 11 45 cm

7 A gun is mounted on a railroad car The mass of the car the gun the shells and the operator is 50 m where m is the mass of one shell If the velocity of the shell with respect to the gun in its state before firing is 200 m s what is the recoil speed of the car after the second shot Neglect friction

The moment of inertia of a metre scale of mass 0 6 kg about an axis perpendicular to the scale and located at the 20 cm position on the scale in kg m is Breadth of the scale is negligible EAMCET 2003 a 0 074 c 0 148 b d 0 104 0 208

An isosceles triangle is to be cut from one edge of a square lamina as shown in the figure such that the remaining portion when suspended from the apex P of the cut will remain in equilibrium in any position The value of his A C 3 3 2 2 2 e 2 B 3 3 e 2 D 2 2 e 2 P

energy and t is time The dimension of a and b is 1 ML T MLT 1 2 M L T M 1L T 3 3 M L T ML T 4 M 1L 2T3 M L T 31 A ball of mass m is moving with velocity u towards another stationary ball of mass 2m If collision is elastic then the percentage KE transferred by ball 1 to ball 2 is 1 68 8 3 88 8 2 78 8 4 100 32 A heavy solid sphere is thrown on a horizontal rough potent ak BED with initial velocity vo without rolling What motion

Example 9 17 Two thin uniform rings made of same material and of radii R and 4R are joined as shown The mass of smaller ring is m Find the MI about an axis passing through the centre of mass of system of rings and perpendicular to the plane A 0 4R

D A mass m moving horizontally along the x axis with velocity v collides and sticks to a mass of 3m moving vertically upward along the y axis with velocity 2v The final velocity of the combination is AIPMT Mains 2012 1 3v v 3 3 2 12 1v 1 1 0 4 1 2