Q 2 ) A uniform rectangular sheet of sides 4 a x 3 a, with a circular hole of radius a has been cut of it , the sheet is located in xy plane as shown in fig. Find the coordinates of the CM of this system . 34 Ja 24 34 4h

PHYSICS Problem-4 A small clay ball with mass m₁ = 16.0g is hanging vertically at rest from a string of length L = 1.0m. A second small clay ball with the same mass, m2 = 16.0g, is shot horizontally at the first ball and then collides and sticks together with the first ball. What must be the initial speed of the second ball if the string raised up to a maximum angle of 90.0° from the vertical? Yalaig dio soi ons tot sist i esob anol wOH (s) 1.0 he election P Todno sol ods no vivery yd onob as how doum woh 6. SY 02243 S82-0×80 x $100

Q3) Two point like objects with the mass mi = 1 kg and m2= 2.05 kg initially move in the x- direction towards each other with initial speeds vi= 3.91 m/s and v2= 4.21 m/s. After the collision the final velocity vector u1 of the point mass m1 makes an angle 01 with the initial velocity vector vi and the final velocity vector uz of the point mass m2 makes an angle 02 with the initial velocity vector v2". Both angles are measured when the vectors are tail to tail (see figure) and take values between 0 and 90 degrees. y T2 m2 mị y + 01 m1 m2 02 a) The final speed of the mass mi is | ui| = 1.42 m/s and the angle is 01= 21.7 degrees. Find the angle 02 (in degrees) b) Find the ratio of the total kinetic energy after and before the collision Kafter/ Kbefore.

Find the CM of an isosceles triangle of height h and an angle f, as shown