Physics - Center of Mass Question with Solution | TestHub
A triangular wedge of mass m is placed on smooth surface as shown in figure. A person having mass equal to that of wedge starts running over it with a constant acceleration upwards, relative to the wedge along AB and runs down with acceleration along BC, relative to the wedge. The initial coordinates of the point 'A' are taken as . Initial speed along the path BC is same as that of the final speed attained along path AB, relative to the wedge. (Assume sufficient friction between man and wedge so that there is no slipping between them). If the x -coordinates is a then of man when he reaches the end C of the wedge.
Answer:
Solution:
Wedge height 12 m: horizontal runs m and m, so the man's horizontal displacement relative to the wedge is m.
Man and wedge have equal masses and no external horizontal force acts: the wedge shifts back by half the relative displacement, so the man's ground displacement is m.
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