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The area of the upper face of a rectangular block is 0.5 m ' 0.5 m and the lower face is fixed. The height of the block is 1 cm. A shearing force applied at the top face produces a displacement of 0.015 mm. Find the strain and shearing force.
(Modulus of rigidity: η = 4.5 x 1010 N/m2)
A small body of mass 0.3 kg oscillates in vertical plane with the help of a string 0.5 m long with a constant speed of 2 m/s. It makes an angle of 60° with the vertical. Calculate tension in the string (g = 9.8 m/s2).
A uniform steel rod of 5 mm2 cross section is heated from 0°C to 25°C. Calculate the force which must be exerted to prevent it from expanding. Also calculate strain.
(α for steel = 12 x 10-6/°C and γ for steel = 20 x 101ON/m2)
A steel wire having cross-sectional area 2 mm2 is stretched by ION. Find the lateral strain produced in the wire. (Given : Y for steel = 2 x 1011 N / m2, Poisson's ratio δ = 0.29)
A steel wire having cross sectional area 1.5 mm2 when stretched by a load produces a lateral strain 1.5 x 10-5. Calculate the mass attached to the wire.
(Ysteel = 2 x 1011 N/m2, Poisson’s ratio σ = 0.291,g = 9.8 m/s2)
A steel wire-of diameter 1 x 10-3m is stretched by a force of 20 N. Calculate the strain energy per unit volume.(Y steel= 2 x 1011 N /m2)
A metal rod having coefficient of linear expansion (α) and Young’s modulus (Y) is heated to
raise the temperature by ΔΘ. The stress exerted by the rod is _______
Velocity of transverse wave along a stretched string is proportional to _______. (T = tension
in the string)