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A square of side length a and mass 2m is cut across its diagonal. Two ideal light rods of negligible length
are rigidly attached to the two corners that were cut. A tangential impulse J (into the page) is applied to
the outermost corner of the square. What is the tension developed in each rod?
The length of a weightless rod is 2ℓ. A small sphere of mass m is fixed at a distance ℓ from its upper end.
The rod rests with its one end against the wall and the other against the floor. The end that rests on the
floor is being moved with a constant velocity V away from the wall :-
(A) The force with which the sphere affects the rod at the moment when α = 45° is .
(B) The force with which the sphere affects the rod at the moment when α = 45° is .
(C) Vertical acceleration of m when α = 60° is .
(D) Horizontal acceleration of m when α = 60° is .
A tower is glued together from three identical wooden blocks of edge lengths a and b as in the figure
below. What is the largest ratio a/b such that the tower would still be stable?
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Негізгі бет Good Mechanics Problems From Test Series | JEE Adv 2025
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