Question 309: Properties of Matter

Question

Wires W
1
and W
2
are made of same material having the breaking stress of 1.25 $$	imes$$ 10
9
N/m
2
. W
1
and W
2
have cross-sectional area of 8 $$	imes$$ 10
$$-$$7
m
2
and 4 $$	imes$$ 10
$$-$$7
m
2
, respectively. Masses of 20 kg and 10 kg hang from them as shown in the figure. The maximum mass that can be placed in the pan without breaking the wires is ____________ kg. (Use g = 10 m/s
2
)

Accepted Answer

B.S
1
= $${{{T_{1\max }}} \over {8 	imes {{10}^{ - 7}}}}$$ $$\Rightarrow$$ T
1 max
= 8 $$	imes$$ 1.25 $$	imes$$ 100 = 1000 N
B.S
2
= $${{{T_{2\max }}} \over {4 	imes {{10}^{ - 7}}}}$$ $$\Rightarrow$$ T
2 max
= 4 $$	imes$$ 1.25 $$	imes$$ 100 = 500 N
m = $${{500 - 100} \over {10}} = 40$$ kg

Properties of Matter

Integer / Numeric Answer Type