Mechanical Engineering - Theory of machines - Discussion
Discussion Forum : Theory of machines - Section 8 (Q.No. 29)
29.
A machine mounted on a single coil spring has a period of free vibration of tp . If the spring is cut into four equal parts and placed in parallel and the machine is mounted on them, then the period of free vibration of the new system will become
Discussion:
4 comments Page 1 of 1.
Swapnil pilare said:
5 years ago
Answer is correct as time period is asked which is inversely proportional to angular velocity.
Mechanical aspirant said:
6 years ago
@Rakesh Singh.
The question asked 'the period of vibration of the new system'. So the correct answer will be 4tp.
I agree with @Neeraj.
The question asked 'the period of vibration of the new system'. So the correct answer will be 4tp.
I agree with @Neeraj.
Neeraj said:
9 years ago
I think the answer should be C.
Rakesh singh said:
10 years ago
If spring cuts in and half then it stiffness increases by n times. So if spring having stiffness k cuts in 4 equal part then stiffness of each part will be:
K' = 4 k.
K equation = 4k + 4k + 4k + 4k = 16k.
W = √16k/m = 4 k/m.
T = 1/4 w.
K' = 4 k.
K equation = 4k + 4k + 4k + 4k = 16k.
W = √16k/m = 4 k/m.
T = 1/4 w.
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