The force-deflection relation of a steel helical spring used in an engine is found experimentally as F(x): 100 x + 30 x² + 5x³, where the force F and deflection x are measured in N and cm, respectively. If the spring undergoes a steady deflection of 0.3 cm during the operation of the engine, determine the equivalent linear spring constant of the spring at its steady deflection. =

Q7: What is the compression in the tibia of lengthh = 30 cm of a person of mass m = standing erect? The bone is regarded as a hollow circular tube with internal radius r, = 1.2 cm and external radius r, = 1.75 cm, and Young's modulus along the axis is Y = 2 × 1010N/m². If the maximum tensile strength of tibia is 1.4 × 10®N/m², What is the compression in the tibia at the point of fracture? 80 kg %3D Fibula 1. Tibia

Three engineers are independently estimating the spring constant of a spring, using the linear model specified by Hooke’s law. Engineer A measures the length of the spring under loads of 0, 1, 2, 4, and 6 lb, for a total of five measurements. Engineer B uses the same loads, but repeats the experiment twice, for a total of 10 independent measurements. Engineer C uses loads of 0, 2, 4, 8, and 12 lb, measuring once for each load. The engineers all use the same measurement apparatus and procedure. Each engineer computes a 95% confidence interval for the spring constant.       If the width of the interval of engineer A is divided by the width of the interval of engineer B, the quotient will be approximately _____.     Numeric Response

The location h of a mass m on the end of a spring with a dampening factor k at time t is described by the following differential equation: m 2²h at² What type of variables are h, m, k, and t? + kh= 0