Question

Problems 18-20 Information: Two ice skaters, male (blue) and female (red) hold hands (purple) as they swing in a U-shape (yellow). The length of their extended arms is 0.5 m and the radius of the U is 0.3 m. At the instant shown, the man skates with a velocity of 4 m/s to the right (+x), slowing at an acceleration of -0.3 m/s2 (so am points to the left, (-x)). Approximate the skaters as a rigid body system of two sliders (blue, red) connected by a rod (purple), moving in the horizontal plane. ant mVm What is the angular velocity (rad/s) of the skaters' arms? Express your answer to 3 significant figures. magnitude: rad/s, direction: ("CCW" or "CW") Blank # 1 A Blank # 2 A/ Question 19 (1 point) What is the velocity of the female skater? Express your answer to 3 significant figures. i +_____j m/s Blank # 1 A/ Blank #2

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sol riven that um لا im Cos' o 0.5m € 3 ) = cos 0.6 53.130 Reference point Centre ar r=0.3m Now let 05 11 Simo m Differentiating Um = 05w coso ea But V = ums! coso = Cos 53.13 = 0.6 4 - 0.5 X W X 0.6 4 0.3 4 h 13.3 rad is (b) For finding velocity of female let SE 11 0.5 Cos o Differentiating 50 VE -0.5 W (- Sino) VF 0.5 x 13.3 x sin 53.13° - 0.5 X 13.3 X 0.8 - 5.32 mil L For af Let use velocity of a Female 5.32 mil (C) finding 0.5w Coso differentiate it 0.5 w²(-sino) + 0,5 a Coso But am=-0.3m52 -0.3=-0.5 x(13.3)2x0,8 +0.5x2x0,6 Um am 88.is + 0.3 V - 0.5w Sano -0.3 = 88.45 .? +0.3& a 293. 8 rad is? But differentiating we get. 0.5 w2 caso +0.5 d Sino Shát 5$13.335 40.6 +0.5 * 293.8 x 0.8 aivo Al capeza +117,52 170.6 ms 2 .:19 = 170.6 m34 де VIDE