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Assuming the block is sliding with coefficient of friction µ at point B, find the acceleration of the block and the reactions on the block at points A and B. 40. This time, find the acceleration of the block and the reactions at A and B if the force P is applied instead at point D. Are the acceleration and the reactions on the block different from those found if P is applied at point E? 45 At the instant shown, the mass is moving to the right at speed v = 3 m/s. Find the rate of work done on the mass.

11 Solve ω˙ = α, given ω(0) = ω0 and α is a constant. 12 Solve θ¨ = α, given θ(0) = θ0 , θ(0) ω˙ 0 , and α a constant. 5 A 200 mm diameter gear rotates at a constant speed of 100 rpm. 13 Given ω˙ = ddtθ = α (a constant), find an expression for ω as a function of θ if ω(θ = 0) = w0 . a) What is the speed of a peripheral point on the gear? 14 Given that θ¨ − λ2 θ = 0, θ(0) = π/2, and θ˙ (0) = 0, find the value of θ at t = 1 s.

The entire system is attached to a truck which is moving with acceleration a T . The plate is moving without rotation or angular acceleration relative to the truck. Thus, the center of mass acceleration of the plate is the same as the truck’s. Dimensions are as shown. Points A, C, and D are fixed to the truck but the truck is not touching the plate at any other points. Find the tension in rod B D. a) If the truck’s acceleration is acm = (5 ft/s2 )k , what is the tension or compression in rod B D?

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