Please Answer question 3 & 4 thoroughly. Written explanations . Consider a unifo
ID: 1779583 • Letter: P
Question
Please Answer question 3 & 4 thoroughly. Written explanations
. Consider a uniform, rigid plank of length Land mass M, resting on two supports, placed at L/3 and at 2L/3. What is the farthest distance from the left side of the plank that a box of mass m can be placed without tipping the plank? Consider the box to weigh 2/3 as much as the plank. 4. A solid cylindrical with mass M and radius r is spinning freely with angular speed wo. A clay rod with mass m and length D and speed v approaches directly toward the center of the cylinder and sticks to the cylinder, with the center of the rod at the center of the cylinder. Assume that there is no final translational motion of the system a. Find the final angular speed of the system, w b. How much energy is lost in the inelastic collision?Explanation / Answer
4.
a)
Ii = initial moment of inertia = (0.5) M r2
If = final moment of inertia = (0.5) M r2 + mr2/3
using conservation of angular momentum
Ii wo = If w
(0.5) M r2 wo = ((0.5) M r2 + mr2/3) w
w = (0.5) M r2 wo / ((0.5) M r2 + mr2/3)