A wire one meter long and radius 0.05 mm is stretched by a tension of 1 kg weight. Find the extension produced.(Y = 2 × 10¹¹ N/m²).
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- A bar undergoing a strain of 0.1 starts at a length of 55 millimeters. What was the bar’s original length?A 15.9 cm long tendon is found to stretch 3.81 mm when a force of 18.0 N is applied to it. If the tendon is round and as an average diameter of 5.26 mm, calculate the Young's modulus of this tendon.A vertebra is subjected to a shearing force of 497 N. Find the shear deformation, taking the vertebra to be a cylinder 3.2 cm high and 4.4 cm in diameter. Δη = μη
- The formula for normal strain in a longitudinal bar is given by ɛ =- AE where F is normal force applied, A is cross-sectional area of the bar and E is Young's modulus. If F = 50±0.5N, A = 0.2±0.002 m² and E = 210×10' ±1×10’ Pa, the maximum error in the measurement of strain is1Find the elongation of a rod made of aluminum and copper under a tension of 5.8×103 N. The dimensions of the rod are R=0.5 cm, LAl=10.5 m, LCu=5.5 m (Young moduli are 7.0×1010 Pa for Al and 11×1010 Pa for Cu)
- We analyzed the biceps muscle example with the angle between forearm and upper arm set at 90 degree (see figure below). Find the force exerted by the biceps muscle when the angle is 150 degree and the forearm is in a downward position. (Assume that r_1 = 5.0 cm, r_2 = 12 cm, r_3 = 30 cm, m_a = 2.4kg, and m_b = 4.2 kg. Enter the magnitude.) NGold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.100 μm, what is the length of the fiber?Structural member AB is to be supported by a strut CD. Determine the smallest length CD may have, and specify where D must be located for a strut of this length to be used. Take x= 120 mm. 60 mm D. y 20 mm E The smallest length CD may have is mm. The coordinates of point Dare ( and Imm.
- By finding the curl, determine which of the following forces are conservative: (a) F = ix +jy + kz (b) F = iy - jx + kz* (c) F = iy + jx + kz' 4.2 _3The illustrated belt is made of rubber (E= = 4 MPa) and has a thickness of 4 mm. It passes through a pulley whose diameter is 20 cm. The belt is subjected to a tension of 50 N. What must be the minimum width, L, so that the stress does not exceed 200 kPa? Answer: 10.3 cmA 16.3 cm long tendon is found to stretch 2.11 mm when a force of 18.8 N is applied to it. If the tendon is round and as an average diameter of 5.13 mm, calculate the Young's modulus of this tendon.