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# CP A meter stick with a mass of 0.180 kg is pivoted about ## Problem 81P Chapter 9

University Physics | 13th Edition

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Problem 81P

CP? A meter stick with a mass of 0.180 kg is pivoted about one end so it can rotate without friction about a horizontal axis. The meter stick is held in a horizontal position and released. As it swings through the vertical, calculate (a) the change in gravitational potential energy that has occurred; (b) the angular speed of the stick; (c) the linear speed of the end of the stick opposite the axis. (d) Compare the answer in part (c) to the speed of a particle that has fallen 1.00 m, starting from rest.

Step-by-Step Solution:

Solution 81P Step 1 of 5: Step 2 of 5: a) we know that , U = mgy U = mgy and U = mgy cm 2 2 2 1 The center of the mass of the stick is at its center, socm 1= 1 m and ycm 2= 0.50 m The change in potential energy of the rope is U = U 2U 1 = mg(y y ) cm 2 cm 1 = (0.180 kg)(9.8 m/s )(0.50 m 1 m) = 0.882 J Step 3 of 5: b)Conservation of energy is, K 1 U +1W other K 2 U 2 only the gravity that does work on meter stick, so W = 0. K = 0 other 1 Thus K = U U = U 2 1 2 K 2 U 1 2 2I 2 U 2(U) 2 I = 6(0.882 2) (0.180 kg)(1 m) = 5.42 rad/s

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##### ISBN: 9780321675460

Since the solution to 81P from 9 chapter was answered, more than 233 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 81P from chapter: 9 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “CP? A meter stick with a mass of 0.180 kg is pivoted about one end so it can rotate without friction about a horizontal axis. The meter stick is held in a horizontal position and released. As it swings through the vertical, calculate (a) the change in gravitational potential energy that has occurred; (b) the angular speed of the stick; (c) the linear speed of the end of the stick opposite the axis. (d) Compare the answer in part (c) to the speed of a particle that has fallen 1.00 m, starting from rest.” is broken down into a number of easy to follow steps, and 94 words. University Physics was written by and is associated to the ISBN: 9780321675460. This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: stick, speed, meter, axis, horizontal. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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CP A meter stick with a mass of 0.180 kg is pivoted about

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Get Full Access to University Physics - 13 Edition - Chapter 9 - Problem 81p

Get Full Access to University Physics - 13 Edition - Chapter 9 - Problem 81p