A 1.2 kg collar C may slide without friction along a fixed smooth horizontal rod. It is attached to three springs each of constant K = 400 N/m and 150 mm undeformed length. Knowing that the collar is released from rest in the position shown. Determine the maximum velocity it will reach in its motion. [Here A, O, B are fixed points.]
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Velocity will be maximum when a = 0
For a = 0, F = 0
This situation occurs for v e following arrangement of springs.
Natural length is c = 150 mm c = 150 mm
Now, U i + K i = U f + K f
U i = 
K{ 
c – c} 2 + 
K{ 
c – c} 2
K i = 0
U f = 2. 
K { 
c – c} 2
K{ 
c – c} 2 + 
K{ 
c – c} 2
= 
mv 2 + 2. 
K { 
c – c} 2
Solving the equation & putting the values we have
v = 
m/s = 3.189 ms –1 .
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems