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Joint Kinematics HW Set #1

# Joint Kinematics HW Set #1 - a n 5 Jagntﬁiéﬁiédés...

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Unformatted text preview: a: n 5 _ Jagntﬁiéﬁiédés ﬁehewark Set #1- ._ _ Problem No. 1 The position of a particle' 15 given by 1r=[3t2 2t] 1 -[4t1/ 2 + t)‘ j (in meters] where t is in seconds. Determine the speed, rate of change of speed and radius of curvature of the path of the particle at t = 2 seconds. Problem No. 2 A particle moves along the curve y: x~— ~x2/4OQ where x and y are in ft. If the velocity component in the x-direction' 18 V31” — 2 ft/sec= constant determine the speed rate of change of speed and radius of curvature of the path of the particle when X: 20 ft. Problem No. 3 A peg moves in the curved slot defined by the lemniscate r2 = 4sin[29), and th ough the slot in the arm. At 6 = 30°, it is known that dB/dt = 2 rad/sec and dzﬂ/dt2 2 rad /sec2. Determine the x- and y—‘components of the Velociw and acceleration of the peg P at this instant. 1 / r“ = (4 sin 2 (1)1113 _ ...
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