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Grade: upto college level

                        

A solid cylinder of length L and radius R has a weight W. Two cords are wrapped around the cylinder, one near each end, and the cord ends are attached to hooks on the ceiling. The cylinder is held horizontally with the two cords exactly vertical and is then released (Fig). Find (a) the tension in each cord as they unwind and (b) the linear acceleration of the cylinder as it falls.

5 years ago

Answers : (3)

Navjyot Kalra
askIITians Faculty
654 Points
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232-1194_1.PNG
5 years ago
Adarsh
733 Points
							
ma=mg-2T --------------(1)
As the tension on both the cords are same.
Net torque,
\tau=\tau1+\tau2=2rT=Iα
2rT=1/2(mr2)a/r=1/2mra
T=1/4(ma)
(1) => ma=mg-2(1/4(ma))
     a=2/3g
T=1/4(m(2/3g))
T=1/6(mg)
 =W/6
 
 
5 years ago
Adarsh
733 Points
							
If my answer is correct please approve.
 
5 years ago
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Course Features

  • 110 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


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