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Unformatted text preview: ME 270 — Fall 2009 joint Kinematics Homework Set #1
Due: Wednesday, November 1 1 Problem No. 1 The position ofa particle is given by r = [3t2 — 2t) i[4t1/2 + t)j [in meters], where t
is in seconds. Determine the speed, rate ofchange ofspeed and radius ofcurvature of
the path ofthe particle at t = 2 seconds. Problem No. 2
A particle moves along the curve y = x — x2/400, where x and y are in ft. [fthe velocity component in the xdirection is vx = 2 ft/sec = constant, determine the speed, rate ofchange ofspeed and radius ofcurvature ofthe 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 through
the slot in the arm. At 6 = 30°, it is known that dB/dt = 2 rad/sec and dZG/dt2 i 2 rad/sec? Determine the x andycomponents ofthe velocity and acceleration ofthe
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 Spring '08
 MURPHY

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