6.) A meter stick of uniform density is balanced horizontally on a fulcrum with

Question

6.) A meter stick of uniform density is balanced horizontally on a fulcrum with support at its center of mass (i.e. the 50 cm mark). A weight is hung at the 35 cm mark and the meterstick begins to rotate with an angular acceleration of 0.075 rad/sA2. Given that the moment of inertia of the meterstick is (1/12)"M'LA2 and the mass M of the meter stick is 0.12 kg A) What is the torque on the meter stick? Sources: B.) What is the amount of weight hung at the 35 cm mark? Sources: C.) Does the torque increase, decrease or remain constant as the meter stick begins to rotate? Sources 7.) A 125,000 space craft is landing on the moon (g-1.6 m/sA2) using a rocket engine thrust that expels its exhaust at 20,000 m/s. At what rate must it consume its fuel to achieve an upward acceleration of 0.4 m/s 2

Explanation / Answer

Q6.

part A:

torque=moment of inertia*angular acceleration

=(1/12)*0.12*1^2*0.075

=7.5*10^(-4) N.m

part B:

torque=force*radial distance

==>7.5*10^(-4)=weight*(0.5-0.35)

==>weight=0.005 N

part C:

torque will remain constant as force and radial distance are constant.

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