A 60 kg drum of waste material is being hoisted by an overhead crane and winch system as illustrated...

Question

A 60 kg drum of waste material is being hoisted by an overhead crane and winch system as illustrated in Figure P3.12. The system is modeled as a simply supported beam to which the cable is attached. The drum of waste material is attached to the end of the cable. When the length of the cable is 6 m, the natural period of the system is measured as 0.3 s. What is the mass of the waste material?

David · Accepted Answer

Solution:- 
As per the given diagram:
For beam, we have 
9 2
4 4
3
9 4
3
7
200 10 /
2.6 10
3
,
48
48 200 10 2.6 10
3
9.244 10 / .........(1)
b
b
b
E N m
I m
L m
Now
F EI
K for thebeam
l
K N m



 
 

 
   

 

For Cable, 
9 2200 10 /
8 0.

A 60 kg drum of waste material is being hoisted by an overhead crane and winch system as illustrated in Figure P3.12. The system is modeled as a simply supported beam to which the cable is attached....

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