A particle P of mass m lies on a smooth horizontal table attached to a long string and inextensible that passes through a hole in its surface. The other end of the string supports a particle Q of dough km that hangs freely. When the particle P is at a distance a from the hole it projects from rest with a speed /Bag along the table at a right angle with the rope. Show that the particle Q will begin to rise if k < 8 and that if the maximum distance between P and the hole is 2a, so k = 3. Find the tension in the string. T. † kmg 8kmgа3 1 T = + kmg r3 k²mg k+1 k+1 Ans.

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A particle P of mass m lies on a smooth horizontal table attached to a long string and inextensible that
passes through a hole in its surface. The other end of the string supports a particle Q of dough km that
hangs freely.
When the particle P is at a distance a from the hole it projects from rest with a speed /Bag along the
table at a right angle with the rope. Show that the particle Q will begin to rise if k < 8 and that if the
maximum distance between P and the hole is 2a, so k = 3. Find the tension in the string.
T.
* kmg
8kmga 1
+ kmg
k²mg
T
%3D
-
k+1
r3
k+1
Ans.
Transcribed Image Text:A particle P of mass m lies on a smooth horizontal table attached to a long string and inextensible that passes through a hole in its surface. The other end of the string supports a particle Q of dough km that hangs freely. When the particle P is at a distance a from the hole it projects from rest with a speed /Bag along the table at a right angle with the rope. Show that the particle Q will begin to rise if k < 8 and that if the maximum distance between P and the hole is 2a, so k = 3. Find the tension in the string. T. * kmg 8kmga 1 + kmg k²mg T %3D - k+1 r3 k+1 Ans.
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