Question

Two blocks of masses 5kg and 10kg are connected by a metal wire going over a smooth pulley as shown in the figure. The breaking stress of the metal wire is If , then what is the minimum radius of the wire which will not break

Answer 1

Explanation:

Correct option is

B

1 mm

T=

m

1

+m

2

2m

1

m

2

g

=

1+2

2×1×2

×10 N

=

3

40

N

If r is the minimum radius, then breaking stress =

πr

2

3

40

⇒

3πr

2

40

=

3π

40

×10

6

⇒r

2

=

10

6

1

or r=

10

3

1

m

⇒r=

10

3

1

×10

3

mm=1 mm