lem o4 The the page, but it is located are mi - 9.8 kg, m2-7.0 kg, and m 7.2 kg.

Question

lem o4 The the page, but it is located are mi - 9.8 kg, m2-7.0 kg, and m 7.2 kg. The magnitude of the force is F- 512 N. (a) For each of the two systems, determine the moment of inertia about the glven axis of rotation. (b) Calculate the torque (magnitude and direction) acting on each system. (e) Both systems start from rest, and the direction of the force moves at a different place, as shown. The same force of magnitude F is applied to the same different place m 18 each consists of the same three small balls connected by massiess rods. In both systems the axis is perpendicular to with the system and always points along the 4.00-m rod. What is the angular velocity of each system after 5.22 s? ball in each system (see the drawing). The masses of the lem 56 3.00mm xis 400m m 5.00 4.00 m (a) IA- System 8 (b) =

Explanation / Answer

(A) for system A,

I = (7 x 3^2) + (7.2 x 5^2) =243 kg m^2

for syetm B:

I = (9.8 x 3^2) + (7 x 4^2) = 200.2 kg m^2

(B) torque = r X F = r F sin(theta)

system A = (3 x 512 x sin90) = 1536 N m

systemB = (4 x 512 x sin0) = 0

(C) torque = I alpha

System A , alpha = 1536 / 243 = 6.32 rad/s^2

w = alpha t = 33 rad/s

System B, alpha = 0

w = 0

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