two blocks A and B of masses 3M and M respectively are connected by a massless and inextensible string the whole system is suspended by a massless spring as shown in figure the magnitude of acceleration of a and b immediately after the string is cut are respectively
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Solution :
⏭ Given:
✏ Two blocks A and B of masses 3M and M respectively are connected by a massless and inextensible string.
✏ The whole system is suspended by a massless spring. (Attachment-1)
⏭ To Find:
✏ The magnitude of acceleration of A and B immediately after the string is cut, are respectively.
⏭ Calculation:
✏ Initially system, is in equilibrium with a total of 4mg over a spting.
(Attachment-2)
- kx = 4mg
✏ When string is cut at the location as shown in attachment-2.
✏ Free body diagram for m is
(Attachment-3)
✏ So, force on mass m = mg
✏ Acceleration of mass m = g
✏ For mass 3m; Free body diagram is
(Attachment-4)
✏ If a = acceleration of block of mass 3m, then
- Fnet = 4mg - 3mg
- 3ma = mg
- a = g/3
✏ So, acceleration for blocks A and B are
- Acceleration of A = g/3
- Acceleration of B = g
Attachments:
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