Special Quizzers' Elimination

1. The bulkhead AD is subjected to both water and soil-backfill pressures. Assuming AD is “pinned” to the ground at A, determine the required tension in the ground anchor BC necessary for equilibrium. The bulkhead has a mass of 800 kg.

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The chandelier is supported by three chains that are concurrent at point O. If the resultant force at O has a magnitude of 130 lb and is directed along the negative z-axis, determine the force in each chain.

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Determine the stiffness k_T of the single spring such that the force F will stretch it by the same amount s as the force F stretches the two springs. Express k_T in terms of k₁ and k₂ of the two springs.

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Determine the force in member EF of the truss, and state if the member is in tension or compression.

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Ball 1 is launched with an initial vertical velocity v₁ = 160 ft/sec. Three seconds later, ball 2 is launched with an initial vertical velocity v₂. Determine v₂ if the balls are to collide at an altitude of 300 ft.

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Experimental data for the motion of a particle along a straight line yield measured values of the velocity v for various position coordinates s. A smooth curve is drawn through the points as shown in the graph. Determine the acceleration of the particle when s = 20 ft.

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At time t = 0, the position vector of a particle moving in the x-y plane is r = 5i m. By time t = 0.02 s, its position vector has become 5.1i + 0.4j m. Determine the magnitude v_av of its average velocity during this interval.

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A particle moving in the x-y plane has a velocity at time t = 6 s given by 4i+5j m/s, and at t = 6.1 s its velocity has become 4.3i+5.4j m/s. Calculate the magnitude a_av of its average acceleration during the 0.1-s interval.

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Water flows in a 2-m wide rectangular flume at the rate of 2.75 m²/s with a mean velocity of 3.5 m/s. To what depth, in cm, can the water jump? Use g = 9.81 m/s².

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A 600 mm by 300 mm reducer connects two pipes. The velocity at the exit end of the reducer is 5 m/s and the pressure is 410 kPa. Neglecting secondary losses, find the resultant axial thrust of the water on the reducer.

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