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Suppose that m=41kg,R=0.21m,I=0.8kg*m^(2) , and c_(T)=0.12N*m*s . Find the speed v(t) if the system is initially at rest and the torqu T is a step

Suppose that

m=41kg,R=0.21m,I=0.8kg*m^(2)

, and

c_(T)=0.12N*m*s

. Find the speed

v(t)

if the system is initially at rest and the torqu\

T

is a step function of magnitude

320N*m

.\ The expression for

v(t)

is given by

v(t)=a+Ce^(-bt)

.\ The values of

a,C

, and

b

are\ , and\ , respectively.Required information\ In the figure, a motor supplies a torque

T

to turn a drum of radius

R

and inertia / about its axis of rotation. The rotating\ drum lifts a mass

m

by means of a cable that wraps around the drum. The drum's speed is

\\\\omega

. Viscous torsional damping\

c_(T)

exists in the drum shaft. Neglect the mass of the cable.\ NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.\ Suppose that

m=41kg,R=0.21m,I=0.8kg*m^(2)

, and

c_(T)=0.12N*m*s

. Find the speed

v(t)

if the system is initially at rest and the torqu\

T

is a step function of magnitude

320N*m

.

image text in transcribed
Required information In the figure, a motor supplies a torque T to turn a drum of radius R and inertia / about its axis of rotation. The rotating drum lifts a mass m by means of a cable that wraps around the drum. The drum's speed is . Viscous torsional damping cT exists in the drum shaft. Neglect the mass of the cable. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Suppose that m=41kg,R=0.21m,l=0.8kgm2, and cT=0.12Nms. Find the speed v(t) if the system is initially at rest and the torqu T is a step function of maqnitude 320Nm

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