Question

4A uniform rod of length L-2.5 m and mass M- 5.8 kg is free to rotate about the y axis at one opposite end of the rod with initial speed 3.4 m/s in a direction that is perpendicular to the rod. The sphere rebounds off of the rod in the opposite direction with a speed of 1.8 m/s. end, as shown. A steel sphere of mass m = 1.7 kg is thrown at the 72 a. Calculate the moment of inertia of the rod about the y axis shown b. Calculate the rotational speed of the rod after the collision. c. What is the direction of the angular velocity of the rod during the collision? d. What is the direction of the angular acceleration of the rod during the collision?

Answer 1

massIS 2 /2 AXİS mohert of neata aboud Hhe end of the red can be calculated as 3 M= 5,8 A L - 2.5 m . x 5.8 x(2.5 3 abous y-axis b) Lt rołalional speed of rod afker callision let inihalvoaolirecton of sphere be fore coDlision be positive then divechon o veloc of sphue afr it rebounds be * negave

ulai momevdum of vacd , be bve col0ision - axi end Anaula momewunm of sphere about y-axis Censeyvation o 0+ mx(3Hm/s) XL=无da, _mx@sm/sw. Lend 12.I w - 1.83 rodlions second observed from top. Srght hond nle the direcion of angular veloeity ia0 be. p adoa d) Since rod was initaldy at vest before sion ard finally starts rotading, theve 6e argor accelexahon mut have increajed the anauor speed hence anguwa Celtomut be velocity, that lh axis'