(1999) As shown above, a uniform disk is mounted to an axle and isfree

tabita57i

tabita57i

Answered question

2021-01-30

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(1999) As shown above, a uniform disk is mounted to an axle and isfree to rotate without friction. A thin uniform rod is rigidlyattached to the disk so that it will rotate with the disk. A blockis attached to the end of the rod. Properties of the disk, rod, andblock are as follows.
Disk: mass = 3m, radius = R, moment of inertia about centerID = 3/2 mR2
Rod: mass = m, length = 2R, moment of inertia about one endIR = 4/3 mR2
Block: mass = 2m
The system is held in equilibrium with the rod at an angle0to the vertical, as shown above, by a horizontal string ofnegligible mass with one end attached to the disk and the other toa wall. Take m = 37 kg, R =0.63 m, and θ0 =58 degrees.
(a) Determine the tension in the string.
(b) Determine the following for the instant immediately after thestring is cut.

Answer & Explanation

SabadisO

SabadisO

Skilled2021-01-31Added 108 answers

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(mass of block should be = 74g N and mass of rod should be 37gN)
a) Taking moments about the centre of the disc,
τ=0
T(0.63)3.7g(0.63sin58)7.4g(1.26sin58)=0
b)i)torque = moment of inertia * angular acceleration
angular acceleration =1540.6332 mR2+43 mR2

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