A tank car is stopped by two spring bumpers A and B, having a stiffness of kд = 15(10³) lb/ft and kB = 20(10³) lb/ft, respectively. Bumper A is attached to the car, whereas bumper B is attached to the wall as shown in (Figure 1). The car has a weight of 25 (10³) lb and is freely coasting at 5 ft/s.
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- Two identical 20.0-kg balls, each 25.3 cm in diameter, are suspended by two 35.0-cm wires as shown in the figure (Figure 1). The entire apparatus is supported by a single 18.0-cm wire, and the surfaces of the balls are perfectly smooth. Find the tension in the top wire. Find the tension in each of two bottom wires.A 1.05-m-long rod of negligible weight is supported at its ends by wires A and B of equal length (the figure (Figure 1)). The cross-sectional area of A is 2.40 mm? and that of B is 4.01 mm?. Young's modulus for wire A is 2.10x1011 Pa ; that for B is 1.40x1011 Pa. Part A At what point along the rod should a weight w be suspended to produce equal stresses in A and B? Express your answer in meters. ΠΥΙ ΑΣφ ? d = m from wire A Submit Request Answer Part B At what point along the rod should a weight w be suspended to produce equal strains in A and B? Express your answer in meters. Π ΑΣφ ? d = m from wire A Submit Request AnswerA 2 kg mass of steel is placed on a slate table that has a µs of 0.2 and a Hk of 0.15. How much force must be applied horizontally to the table in order to start the mass moving? If enough mass is supplied to start the mass moving, what will it's resulting acceleration be? How long will it take the mass to move 0.75 m?
- The systems shown below are in equilibrium with m= 20 kg and ? = 28.0°. If the spring scales are calibrated in newtons, what do they read? Ignore the masses of the pulleys and strings and assume the pulleys and the incline are frictionless.A block of mass M is traveling on a surface inclined at angle θ. The coefficient of kinetic friction is μk, between block and surface. The velocity of the block is V before colliding with a spring. The spring has a stiffness k. How much is the spring compressed?Part A: The position of a 40 gg oscillating mass is given by x(t)=(2.0cm)cos(10t)=(2.0cm)cos(10t), where t is in seconds. Determine the velocity at t=0.40s=0.40s. Express your answer in meters per second to two significant figures. Part B: Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? Express your answer in newtons per meter to two significant figures. Part C: What is the total energy E of the mass described in the previous parts? Express your answer in joules to two significant figures.
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