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If no cxtermal force is acting on the system, set linear maxnentum of the syetem is conserved. If rystem is acted upon by wome externel focce, the component of momentum of the systars, along which no extemal foroe is prestnt of their vector sum is zero, is conserved. If a shapp blow is given to a body its linear momentum elanges irtanediately. Changs in angular momentam not only depends en the magnitade of the blow but alse on paint of application. In the case of symmetrical body ae uloe the axis of totation through cester of the body. A wodge of miss \( 4 \mathrm{~m} \) is placed at rest on a ifecoth harizontal surface. A uniform solid sphere of mass m and radius \( r \) is placed at rest on the flat portion of the wedge at the point \( Q \) as shows in the figure. \( A \) sharp horizontal ieprulse \( P \) is given to the splecte at a survature of the curved partion of the wedge is \( R \). Coefficient of friction to the left side of point \( Q \) is \( \mu \) and to the right side of point \( Q \) is acro. For a body to roll on a surface without slipping, there should be no relative velocity between the points of contact.
Figure 5.131
The maximam height to watich the center of muss of the sphere will elimb on the curved portion of the wedge is :
(A) \( \frac{2 p^{3}}{5 m^{2} g} \)
(B) \( \frac{p^{2}}{5 m^{2} g} \)
(C) \( \frac{p^{2}}{2 m^{2} g} \)
(D) none of thene
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