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I can't understand why $\left(\frac{\partial P}{\partial V} \right)_T=-\left(\frac{\partial P}{\partial T} \right)_V\left(\frac{\partial T}{\partial V}\right)_P$. Why does the negative sign arise? I can easily write $\left(\frac{\partial P}{\partial V}\right)_T=\left(\frac{\partial P}{\partial T}... 11 hours later… 12:27 PM 3 In a situation where a disk is rolling WITH slipping on the ground i.e velocity of centre of mass is greater than$r\omega$, is angular momentum conserved about a point on the ground. What confuses me is that friction decelerates the disk to make$v_{com} = r\omega\$ and in this process some velo...