A stick is resting on a concrete step A stick is resting on a concrete step with

Question

A stick is resting on a concrete step

A stick is resting on a concrete step with 2/5 of its length hanging over the edge. A single ladybug lands on the end of the stick hanging over the edge, and the stick begins to tip. A moment later, a second, identical ladybug lands on the other end of the stick, which results in the stick coming momentarily to rest 46.5degree from the horizontal. If the mass of each bug is 3.60 times the mass of the stick and the stick is 16.3 cm long, what is the magnitude ofthe angular acceleration ofthe stick at the instant shown?

Explanation / Answer

A method to solve this question First you want to convert 7,740 revolutions per minute into radians per second, to do that you go through a simple conversion ? = ? T/ ? t = (7,740 rev/ 1 min)(2pi rad/1 rev)(1 min/60 sec) = 258pi rad/s Once you are done with the conversion factor, you use the information given to find the angular accerlation. From kinematics, you remembered that vf = v0 + at. Divide the equation by the radius r and you get: ?f = ?0 + at The initial speed started at zero, so ?0 = 0. a = ?f/t = 274.6 rad/s^2

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