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MathematicalPhysicist
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on page 108, question 2.34:
A mass m whirls around on a string which passes through a ring, ngelect gravity.
initially the mass is distance r0 from the centre and is revolving at angular velocity w0.
the string is pulled with constant velocity V starting at t=0 so that the radial distance to the mass decreases.
obtain a differential equation for w(t).
here what i did:
v'=w0r0
r(t)=r0+Vt
v'=w(t)*r(t)
w(t)r(t)=w0r0
but from the text this isn't correct, can someone help me here?
A mass m whirls around on a string which passes through a ring, ngelect gravity.
initially the mass is distance r0 from the centre and is revolving at angular velocity w0.
the string is pulled with constant velocity V starting at t=0 so that the radial distance to the mass decreases.
obtain a differential equation for w(t).
here what i did:
v'=w0r0
r(t)=r0+Vt
v'=w(t)*r(t)
w(t)r(t)=w0r0
but from the text this isn't correct, can someone help me here?