Problem 7: A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m, moving with speed V, strikes the rod at angle 0 from the normal and sticks to the rod after the collision. D M V. т Part (a) What is the total moment of inertia, I, with respect to the hinge, of the rod-ball-system after the collision? SchematicChoice : ML2 + mD² 12 (M+m)L² ML2 + mL? I 3 3 ML2 + mD² 3 Part (b) What is the angular speed wf of the system immediately after the collision, in terms of system parameters and I? Expression : Of = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), sin(a), sin(0), a, ß, D, g, h, I, L, m, M, t, V

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RMQ7: please answer all parts and explain steps
Problem 7: A rod of mass M and length L can rotate about a hinge at its left end and is
initially at rest. A putty ball of mass m, moving with speed V, strikes the rod at angle 0
from the normal and sticks to the rod after the collision.
D
M
V.
т
Part (a) What is the total moment of inertia, I, with respect to the hinge, of the rod-ball-system after the collision?
SchematicChoice :
ML2
+ mD²
(M+m)L²
ML2
+ mL?
3
I
12
3
ML2
+ mD²
3
Part (b) What is the angular speed wf of the system immediately after the collision, in terms of system parameters and I?
Expression :
Of =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(0), sin(a), sin(0), a, ß, D, g, h, I, L, m, M, t, V
Transcribed Image Text:Problem 7: A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m, moving with speed V, strikes the rod at angle 0 from the normal and sticks to the rod after the collision. D M V. т Part (a) What is the total moment of inertia, I, with respect to the hinge, of the rod-ball-system after the collision? SchematicChoice : ML2 + mD² (M+m)L² ML2 + mL? 3 I 12 3 ML2 + mD² 3 Part (b) What is the angular speed wf of the system immediately after the collision, in terms of system parameters and I? Expression : Of = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), sin(a), sin(0), a, ß, D, g, h, I, L, m, M, t, V
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