Two masses M_(1) and M_(2) are connected by light string, which passes over the top of a smooth plane inclined at 30^(@) to the horizontal, so that one mass rests on the plane and the other hangs vertically as shown in figure. It is found that M_(1), hanging vertically can draw M_(2) up the full length of the plane in half the time in which M_(2) hanging vertically draws M_(1) up. Find M_(1)//M_(2). Assume pulley to be smooth. Initially at time t = 0 smooth masses M_(1) = 15 kg and M_(2) = 10 kg are held at rest and then they released. if after one second. the string snaps, find the further time taken for the 15 kg mass to return to its original position on the plane. Take g = 10 m//s^(2)

Two masses M_(1) and M_(2) are connected by light string, which passes

1.	Two masses M_(1) and M_(2) are connected by light string, which passes over the top of a smooth plane inclined at 30^(@) to the horizontal, so that one mass rests on the plane and the other hangs vertically as shown in figure. It is found that M_(1), hanging vertically can draw M_(2) up the full length of the plane in half the time in which M_(2) hanging vertically draws M_(1) up. Find M_(1)//M_(2). Assume pulley to be smooth. Initially at time t = 0 smooth masses M_(1) = 15 kg and M_(2) = 10 kg are held at rest and then they released. if after one second. the string snaps, find the further time taken for the 15 kg mass to return to its original position on the plane. Take g = 10 m//s^(2)
Answer» ANSWER :`3//2, 0.69` SEC