Physics - Center of Mass Question with Solution | TestHub

The maximum magnitude of relative velocity between the two masses is given by $\ell \left(\frac{1-\cos \theta }{\cos \theta }\right)\sqrt{\frac{2K}{m}}$

The maximum magnitude of relative velocity between the two masses is given by $\ell \left(\frac{1-\cos \theta }{\sin \theta }\right)\sqrt{\frac{K}{2m}}$

As the spring comes to its natural length it is cut suddenly from the center. The speed of lower block as shown in figure just after the spring is cut will be $\frac{\ell }{4}\sqrt{\frac{K}{2m}}$ (Take $\theta =37^{\circ }$ ):

As the spring comes to its natural length it is cut suddenly from the center. The speed of lower block as shown in figure just after the spring is cut will be $\frac{\ell }{3}\sqrt{\frac{2K}{m}}$ (Take $\theta =37^{\circ }$ ):