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http://i331.photobucket.com/albums/l471/mmvega89/physicsphoto.png Questions 13-1

ID: 2152712 • Letter: H

Question

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Questions 13-15: A uniform rod (L = 0.80 m, M = 4.00 kg, I = (1/3)ML^2) is supported via a cable which attaches at a distance l (cursive L) = 0.20 m from the pivot, and which attaches to the wall with angle = 16.26o with respect vertical (see figure above). The rod makes an angle = 53.1o with respect to horizontal.

13.) What is the tension in the cable?
A.)15N
B.)20N
C.)27N
D.)30N
E.)40N
AB.) 53 N
AC.) 60 N
AD.) 80 N
AE.) 107 N
BC.) 120 N
BD.) 160 N
BE.) 213 N

14.) The cable breaks. What is the angular acceleration right at the moment the cable breaks?
A.) 3.75 rad/s2
B.) 5.00 rad/s2
C.) 6.25 rad/s2
D.) 7.50 rad/s2
E.) 10.00 rad/s2
AB.) 11.25 rad/s2
AC.) 12.50 rad/s2
AD.) 15.00 rad/s2
AE.) 18.75 rad/s2
BC.) 22.50 rad/s2
BD.) 30.00 rad/s2
BE.) 37.50 rad/s2

15.) What is the angular speed right before the rod hits the ground? (Hint: Use conservation of energy.)
A.) 1.94 rad/s
B.) 2.24 rad/s
C.) 2.50 rad/s
D.) 2.74 rad/s
E.) 3.16 rad/s
AB.) 3.35 rad/s
AC.) 3.54 rad/s
AD.) 3.87 rad/s
AE.) 4.33 rad/s
BC.) 4.74 rad/s
BD.) 5.48 rad/s
BE.) 6.12 rad/s

Please explain and show work

Explanation / Answer

C.)27N , BC.) 120 N C.) 6.25 rad/s2, BC.) 22.50 rad/s2 C.) 2.50 rad/s, BC.) 4.74 rad/s