It wants a formula for B but I need C too! (2006) Problem 5: A rod of mass M= 16

Question

It wants a formula for B but I need C too!

(2006) Problem 5: A rod of mass M= 163 and length L-39 cm can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m-17 g, moving with speed V= 10 m/s. strikes the rod at angle = 21° a distance D = L/2 from the end and sticks to the rod after the collision. ©theexpertta.com 33% Part (a) What is the total moment of inertia. I. with respect to the hinge, of the rod-ball system after the collision? 33% Part (b) What is the angular speed of the system immediately after the collision in terms of system parameters and moment of inertia I? Grade Summary Deductions Potential 5% 95% cos(a)cos( ( sin(a)sin psin(6) Submissions Attempts remaining:!9 (5% per attempt) detailed view 5% END EL CLEAR Submit Hint I give up! Hints: 3% deduction per hint. Hints remaining: 3 Feedback: 3% deduction per feedback. 33% Part (c) Calculate the rotational kinetic energy of the system after the collision, in J All content © 2018 Expert TA, LLC

Explanation / Answer

I = ML2/3 + mD2

= 0.163(0.39)2/3 + 0.017(0.195)2

  = 0.008910525 kgm2

b) Iw = mvDcos21

w = 0.017 x 10 x 0.195 x cos21/(0.008910525)

w = 3.473217475 rad/s

c) rotational kinetic energy = 0.5Iw2 = 0.053744899 J

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