Question
Question: Two men of mass 50kg and 60kg on diametrically opposite point of a turn table of mass 90 kg. The tur...
Two men of mass 50kg and 60kg on diametrically opposite point of a turn table of mass 90 kg. The turn table is free to rotate about vertical axis. The two men start moving towards each other along the circumference of table. The angle rotated by table when the two men meet each other –
A
8.20
B
4.50
C
6.40
D
7.20
Answer
4.50
Explanation
Solution
Let 'q' be angle rotated by turn-table
Let mass of man 1 = m1 (= 50 kg)
Mass of man 2 = m2 (= 60 kg)
Mass of turntable = m (= 90 kg)
\ m1 (900 + q) + m2 {– (900 – q)} + m.q = 0
Ž q = 4.50