Four particles with masses 9 kg,4 kg, 9 kg, and 6 kg are connected by rigidrods
ID: 1744778 • Letter: F
Question
Four particles with masses 9 kg,4 kg, 9 kg,
and 6 kg are connected by rigidrods of neg-
ligible mass as shown. Aassumethe system
rotates in thexy plane aboutthe z axis(ori-
gin, O) with an angular speed of 4rad/s.
Find the moment of inertia ofthe system
about the z axis.
Answer in units of kg· m2.
002 (part 2 of 2) 10.0 points
Find the rotational energy ofthe system
Att = 0, a wheelrotating about a fixed axis at
a constantangular deceleration of 0.4 rad/s2
has anangular velocity of 1.3 rad/s and an
angularposition of 6.7 rad.
What is theangular position of the wheel
after 4 s? Answer in unitsof rad.
Explanation / Answer
Given that the masses are m1 = 9kg ,m2 = 4kg , m3=9kg, m4 = 6kg The angular speed is = 4 rad/s ------------------------------------------------------------------------------- Moment of inertia of the body is I= mass *(distance between the axis of rotation andmass)2 If the origin at the 4kg massthen I= m1*5m2 + m2*0 + m3*4m2+ m4*(41)2 =9kg*5m2 + 0 + 9kg*4m2+ 6kg*(41)2 =--------- Kg.m2 Rotational energy is K = (1/2)I2 =--------------- J At t=0 angular deceleration is = 0.4 rad/s2 and angular velocity = 1.3rad/s and position = 6.7 rad The angulardisplance ment agter time t = 4s is 1 = t + (1/2)t2 =(1.3 rad/s)(4s)+(1/2)(0.4rad/s2)(4s)2 =-------- rad Then the new postion after4s is = + 1 = ---------- rad =(1.3 rad/s)(4s)+(1/2)(0.4rad/s2)(4s)2 =-------- rad Then the new postion after4s is = + 1 = ---------- radRelated Questions
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