Ignoring the small elastic region, the true stress (𝜎) – true strain (𝜀) variation of a material beyond yielding follows the equation 𝜎 = 400𝜀^0.3 MPa. The engineering ultimate tensile strength value of this material is ________ MPa.

(Rounded off to one decimal place)

The area moment of inertia about the y-axis of a linearly tapered section shown in the figure is _____________ m⁴ .

(Answer in integer)

A cylindrical bar has a length 𝐿 = 5 𝑚 and cross section area 𝑆 = 10 𝑚² . The bar is made of a linear elastic material with a density ρ = 2700 kg/m³ and Young’s modulus E = 70 GPa. The bar is suspended as shown in the figure and is in a state of uniaxial tension due to its self-weight.

The elastic strain energy stored in the bar equals _________ J. (Rounded off to two decimal places)

Take the acceleration due to gravity as 𝑔 = 9.8 m/s².

A cylindrical transmission shaft of length 1.5 m and diameter 100 mm is made of a linear elastic material with a shear modulus of 80 GPa. While operating at 500 rpm, the angle of twist across its length is found to be 0.5 degrees.

The power transmitted by the shaft at this speed is _______kW. (Rounded off to two decimal places)

Take π = 3.14.