Question

Two blocks of masses 10 kg and 30 kg are placed along a vertical line. If 10 kg block is raised through a height of 7 cm, then the distance
through which other mass should be moved to raise the center of mass of the system by 1 cm is​

Answer 1

Explanation:

Correct option is

B

1 cm down

Two masses m

1

and m

2

are kept in verticle line

m

1

=10kg m

2

=30kg

y

1

=7cm y

2

=?

The centre of mass raised by 1cm

centre of mass =

m

1

+m

2

m

1

y

1

+m

2

y

2

1 =

10+30

10×7+30×y

2

40=70+30y

2

y

2

=−1

So, m

2

=30kg body should be displaced 1cm downward ,so as to raise the centre of mass through 1cm

so the correct answer is (B)