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Analyzing a Multipart Structure The shorter beam in Figure 10-25 has mass m1 = 1100.0 kg and is supported by a free hinge at point A. The longer beam has mass m2 = 2100.0 kg and is supported by a free hinge at point B. The two beams are fixed to each other by a free hinge at C. Find the support forces at the three hinges, assuming that the structure is in equilibrium. Fig.10-25:
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Thermodynamics
Animal versus Mineral The yield point of both A36 steel (a grade of structural steel) and some types of spider silk is 250.0 MPa, and the yield point for human tendons is 28.0 MPa. Compare the maximum mass that can be carried in tension by a steel rod or spider silk, without permanent deformation, with the mass that can be supported by a human tendon of the same size and dimensions. The rod (and spider silk) are 2.00 m long and have a radius of 2.00 cm.
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Thermodynamics
Ladder Safety The worker of mass M in Figure 10-18 wants to climb three quarters of the way up a 4.0 m long ladder of mass m. The ladder makes an angle of 65° with the floor and leans against the wall as shown. Derive an expression, in terms of M and m, for the minimum coefficient of friction between the ladder and the floor that will prevent the ladder from sliding on the floor. Assume that the contact between the ladder and the wall is frictionless.
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Thermodynamics
The Strength of Human bone Young’s modulus for the human femur bone for longitudinal stress is approximately 17.0 GPa, and the compressive strength is approximately 190.0 MPa. The average length of a female femur is 48.0 cm, and the average diameter is 25.4 mm. (a) Compare the maximum mass that can be carried by the femur to the maximum mass that can be carried by a column of concrete that has the same dimensions and a compressive strength of 42.0 MPa. (b) Assuming a linear relation between stress and strain until the point of maximum compression, estimate the compressive strain at which the femur will fracture
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Thermodynamics
Working with unknown Forces Assume that the weight of the V-shaped structural element shown in Figure 10-23 is negligible compared to the other forces acting on it. Find the forces exerted by the hinge and the roller on this element. Assume that the roller is frictionless and that F_1=1200.0 N,F_2=400.0 N,and F_3=500.0 N. The roller is a type of support; it is free to roll, and in this example provides a vertical force only.
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Thermodynamics
A Parallel-Plate Capacitor A capacitor that has two parallel plates of dimensions 8.00cm × 10.00 cm separated by 2.00 mm of air is connected to a 24.0 V battery. Find the capacitance the charge on one plate the electric field in the capacitor
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Thermodynamics
Capacitance for Coaxial Cylinders Consider a system of two long coaxial cylinders. The inner cylinder is solid and has radius r_1, and the outer cylindrical conductor is thin and has radius r_2. The inner cylinder carries a charge of +Q over a length L, and the outer cylinder carries a charge of -Q over the same length. What is the capacitance of length L this configuration? When r_1= 4.00 mm, and r_2= 5.00 mm, what is the capacitance in a 0.500 m length of the capacitor?
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Thermodynamics
Capacitor Combination What is the net capacitance between terminals A and B of the circuit in Figure 22-15 when C_1=12.0 μF,C_2=4.00 μF ,C_3=3.00 μF,and C_4=6.00 μF?
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Thermodynamics
