2. To measure a base line, a steel tape 30 m long, standardised at 15° C with a pull of 80 N was used. Find the correction per tape length, if the temperature at the time of measurement is 25° C and the pull exerted is 150 N. Take Young's modulus E = 2 x 10^5 N/mm2 and coefficient of thermal expansion a = 11.2 × 10^-6/°C. Cross-sectional area of tape is 8 mm2.

A 7,607 Ib force (Q) is applied over a circular rigid plate of radius (r) 5 inches sitting on an elastic two- layer system, as shown in the figure. r E, E, Assuming the two layers to be incompressible, and knowing that the thickness of the first layer (h) is 10 in, the Young's modulus of the second layer (E2) is 4,000 psi, and the measured surface deflection (w) is 0.01 in, determine: 1. The Young's modulus of layer 1 2. If only a lower quality asphalt concrete is available (E, = 400,000 psi), what should h1 be increased to in order to attain the same 0.01 in surface deflection?

M m Consider the above figure. The weight has a mass m = 2.0 kg, and its attached to a ligth cord wound around a pulley. The pulley consists of a hoop of wiht radius R = 7 cm and mass M = 2.1 kg. The mass of the spokes is negligible.. %3D %3D (a) What is the magnitude of the net torque on the system about the axle of the pulley? (b) When the counterweight has a speed v, Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (c) Using your result from part (b) and the defintion of torque, T=dL/dt, calculate the acceleration of the counterweight.

The concrete (specific weight = 150 lb/ft3) seawall of the figure below has a curved surface and restrains seawater at a depth of 24 ft. The trace of the surface is a parabola as illustrated. Determine the moment of the fluid force (per unit length) with respect to an axis through the toe (point A). Assume a = 0.25, y = 0.25x². MA= ft-lb 24 ft Seawater y = ax² -15 ft