Chapter 13, Problem 93P

Q10. The platform is rotating about the vertical axis such that at any instant its angular position is = (C₁ · ³/2) rad, where C₁ is a constant and this time in seconds. A ball rolls outward along the radial groove so that its position is r = (C₂ · t³) m, where C₂ is another constant and t is again time in seconds. If the constants C₁ = 4.1 and C₂ = 0.06, determine the magnitude of the acceleration of the ball (in m/s²) when t 1.5 s. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: Answer 0. r

The weight of the spring held follower AB is 0.367 kg and moves back and forth as its end rolls on the contoured surface of the cam, where r = 0.2 ft and z = (0.1sin20) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force, in lb, at the end A of the follower where 0 = 45°. In this position, the spring is compressed 0.4 ft. Neglect friction at the bearing C. Round your answer to 3 decimal places. 6 = 6 rad/s 0.2 ftX z = 0.1 sin 20 Z A k = 12 lb/ft с B

As in the figure, in an amusement vehicle rotating in the amusement park, the center shaft rotates at a speed of n=7 rpm. Meanwhile, the child is moved with the position equations r = (2 sinθ + 5) m and z = (3 cosθ) m. Find the forces generated in the child in all three axes (r, θ, z). The weight of the child is m = 34 kg. At the time the photo was taken, θ=123 degrees.

Rod OA rotates counterclockwise at a constant angular rate θ˙ = 4 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r=(1.6cosθ)m. Both collars have a mass of 0.55 kg . Motion is in the horizontal plane. Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant θ = 45∘ Determine the magnitude of the force that OA exerts on the other collar at the instant θ = 45∘

The uniform square steel plate has a mass of 6 kg and is resting on a smooth horizontal surface in the x-y plane. If a horizontal force P = 127 N is applied to one corner in the direction shown, determine the magnitude of the initial acceleration of corner A. The distance b = 200 mm. Assume 8 = 50°. Answer: dA= i 0 A P m/s²

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1. The slotted link is pinned at 0, and as a result of the constant angular velocity é = 6 rad's it drives the peg P for a short distance along the spiral guide r = (0.6 0) m where e is in radians. When e = 80 deg, Find: a. Find e, é, ë,r,r, ř. (in radians) b. The radial components, transverse components, and magnitudes of the velocity [4maeie). - The radial components, transverse components, and magnitudes of the acceleration of P at the instant. asks). %3D 0.8 m r=0.6 0 ô =6 rad/s

The rope that is wound around a drum wheel lifts the bucket, as shown in the figure. If the angular displacement of the wheel is given by the expression 0 = (0.7t³ + 1t) rad, where t is in seconds, determine the velocity of the bucket (in ft/s) when t 4.4 s. = 0.75 ft

The smooth surface of the vertical cam is defined in part by the curve r =(0.2 cos θ + 0.3) m. The forked rod is rotating with an angular acceleration of 2rad/s^2, and when θ = 45° the angular velocity is 6 rad/s. Determine the force the camand the rod exert on the 2-kg roller at this instant. The attached spring has a stiffnessk = 100 N/m and an unstretched length of 0.1 m.