Question: A particle P of mass m lies on a smooth horizontal table attached to a long, inextensible string that passes through a smooth hole

A particle P of mass m lies on a smooth horizontal table

A particle P of mass m lies on a smooth horizontal table attached to a long, inextensible string that passes through a smooth hole in its surface. The other end of the string supports a freely hanging particle Q of mass km. From rest, a particle P is projected along the table at a right angle with the string, with a speed /8ag when it is at a distance a from the hole. Show that the particle Q begins to rise if k < 8 and that the maximum distance between P and the hole is 2a then k 3. Calculate the tension of the string A B m P Q

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