A steel cable with a radius of 1.5 cm supports a chairlift at a ski area. If the maximum stress is not to exceed `10^8 N m ^-2`, what is the maximum load the cable can support ?

In the above problem, If the yield strength of steel is 2.5 xx 10^8 N m^-2 , what is the maximum weight that can be hung at the lower end of the wire?

In a cycltoron, magnetic induction of 1.55 Wb m^-2 is used . If the radius of the dee is 0.50 m, what is the maximum attainable energy of the deutrons in eV?

A truck is pulling a car out of a ditch by means of a steel cable that is 9.1 m long and has a radius of 5 mm. When the car just begins to move, the tension in the cable is 800 N. How much has the cble streched ? (Young's modulus for steel is 2xx 10^11 N m^-2) .

A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev.//min in a horizontal plane. What is the tension in the string ? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N ?

A paramagnetic gas consists of atoms each with a dipole moment of 1.5 xx 10^-23 j T^-1 . The temperature of the gas is 27^@C and its number density is 2xx10^26 m^-3 . What is the maximum magnetisation of the sample possible, when it is placed in an external magnetic field?

A wire stretched between two rigid supports vibrates in itsfundamental mode with a frequency of 45 Hz. The mass of the wire is 3.5 xx 10^-2 kg and itslinear mass density is 4.0 xx 10^-2 kg m^-1 . What is the speed of a transverse wave on the string

A circular coil of 20 turns and radius 10 cm is placed in a uniform magnetic field of 0.10 T normal to the plane of the coil. If the current in the coil is 5.0 A, what is the total torque on the coil, (The coil is made of copper wire of cross-sectional area 10^-5 m^2 , and the free electron density in copper is given to be about 10^29 m^-3 .)

A cable is replaced by another of the same length and material but of twice diameter. How many times will be the maximum load supported by the latter as compared to the former?

Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What is the maximum tension that can be exerted by the riveted strip if the shearing stress on the rivet is not to exceed 6.9 xx 10^7 Pa? Assume that each rivet is to carry one quarter of the load.

A hydraulic automobile lift is designed to lift cars with a maximum mass of 3000 kg. The area of cross-section of the piston carrying the load is 425 cm^2 . What maximum pressure would the smaller piston have to bear ?