Home
Class 11
PHYSICS
Two blocks of masses 1 kg and 2kg are co...

Two blocks of masses 1 kg and 2kg are connect by a metal wire going over a smooth pulley as shown in figure. The breaking stress of the metal is `2xx10^9m^-2`. What should be the minmum radius of the wire used if it is not to break? Take `g=10ms^-2`

Text Solution

Verified by Experts

The stress in the wire `=("Tension")/("Area of cross-section")`. To avoid breaking, this stress should not exceed the breaking stress.
Let the tension in the wire be `T`. The equation of motion of the two blocks are,
`T=10N=(1 kg )a`
and `20N-T=(2kg)a`.
Eliminating a from these equations,
`T=(40xx3)N`
The stress `=((40//3)N)/(pir^(2))`
If the minimum radius needed to avoid breaking is `r`.
`2xx10^(9)(N)/(m^(2))=((40//3)N)/(pir^(2))`
Solving this, `r=4.6xx10^(-5)m`.
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 90 Illustration|2 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 91 illustration|2 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise Now answer the following :|20 Videos

  • CURRENT ELECTRICITY

    RESONANCE|Exercise Exercise|54 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

Two blocks of masses 2 kg and 3kg are connected by a metal wire going over a smoother pulley as shown in figure. The breaking stress of the steel is 2xx10^(9)Nm^(-2) . What would be the minimum radius of the wire used if it not to break ? Take , g=10 ms^(-2)

Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is 24/pi xx 10^2 Nm^( - 2) . What is the minimum radius of the wire ? (take g=10ms^(-2) )

Two blocks of masses 1 kg and 2 kg are connected by a metal wire goijng over a smooth pulley as shown in figure. The breaking stress of the metal is (40//3pi)xx10^(6)N//m^(2) . If g=10ms^(-12) , then what should be the minimum radlus of the wire used if it is not to break?

Two blocks of masses 5 kg and 10 kg are connected by a metal wire going over a smooth pulley as shown in the figure. The breaking stress of the metal wire is 2xx10^(9)"N m"^(-2) . If g=10ms^(-2) , then what is the minimum radius of the wire which will not break

Two masses of 10 kg and 20 kg are connected with an inextensible string passing over two smooth pulleys as shown in the figure. The acceleration of 20 kg mass will be :

Two blocks A and B , each of mass 10 kg , are connected by a light string passing over a smooth pulley as shown in the figure. Block A will remain at rest if the friction on it is

A wire is supporting two masses on a pulley as shown. If breaking stress of wire is (2400/ pi) N/m^(-2) . Find minimum radius of wire, so that it does not break.

Two blocks of masses 5 kg and 4 kg are connected with ideal string which is passing over an ideal pulley as shown in figure. If the system is released from rest then the magnitude of acceleration of the blocks will be (Take g = 10 ms^-2 and sqrt3 = 1.7 )

Three blocks of masses m_(1)=4kg, m_(2)=2kg, m_(3)=4kg are connected with ideal strings passing over a smooth, massless pulley as shown in figure. The acceleration of blocks will be (g=10m//s^(2))

Two unequal masses of 1kg and 2kg are connected by an inextensible light string passing over a smooth pulley as shown in figure. A force F = 20N is applied on 1kg block find the acceleration of either block (g = 10m//s^(2)) .