Sapling Learning Map A stick is resting on a concrete step with 2/9 of its lengt

Question

Sapling Learning Map A stick is resting on a concrete step with 2/9 of its length hanging over the edge. A single ladybug lands on the end of the stick hanging over 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 momentarily to rest 67.3" from the horizontal. If the mass of each bug is 2.75 times the mass of the stick and the stick is 11.5 cm long, what is the 67.300 itude of the angular acceleration of the stick at the instant shown Number figure not to scale 57.7 rad/ s There is additional feedback available View this feedback by clicking on the bottom divider bar on the divider Incorrect bar again to hide the additional leedback Close O Previous # Try Again O Next exit Explanation

Explanation / Answer

Let the mass of stick be m, moment of ineria =  [(2m/9)*(0.115*2/9)^2/3 + (7m/9)*(0.115*7/9)^2/3 + 2.75m*(0.115*2/9)^2 + 2.75m*(0.115*7/9)^2] = 0.02592 m

Writing torque equation about hinge,

i alpha = summation F r

i alpha = 2.75m*(0.115*2/9)*9.8*cos 67.3 degree - 2.75m*(0.115*7/9)*9.8*cos 67.3 degree - m*9.8*(0.115*2.5/9)

i alpha = -0.9775*m

0.02592m alpha = -0.9775*m

  0.02592 alpha =  -0.9775

alpha =  -0.9775/0.02592 = -37.7 rad/s^2

magnitude of angular acceleration = 37.7 rad/s^2 answer

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