Question

Question 15 Flying Circus of Physics A yo-yo has a rotational inertia of 1150 g.cm2 and a mass of 113 g. Its axle radius is 2.48 mm, and its string is 119 cm long. Suppose that this yo-yo is thrown so that its initial speed down the string is 1.29 m/s. (a) How long does the yo-yo take to reach the end of the string? As it reaches the end of the string, what are its (b) total kinetic energy, (c) linear speed, (d) translational kinetic energy, (e) angular speed, and (f) rotational kinetic energy? (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units (f) Number Units

Answer 1

1+ Icom 2. 488103 m The total kitam gl (from Conservation of As we know that, The linear acceleration for the yo-yo is givers as g 29.80/92 az g I com? 115x10 6 kgm2 CS MR. Rar Innd radius 9.8 Azi tisX106 It 1137107 x 2.988107) a 26.99 m112 Noco using sguation of motion laut 1 eet? le length of string a folyn 4.199= 1.29X $ +4X694x82. 3.09 ( + 1.29 + - 1.1920 = 1.290/ t = 0.4285 sec of the the System Total kit (113x103) (9.8) (119x15² m) Total Kita 1.3178 J. c) using equation of motiu Vavtat V 1.29 + 6.9 4X 0.11285 linear speed J 24.26 m/s/re m te time taken a Initial velocity at trd b
  
d The translation Kit is givers ast Kitron't mv2 {ve dine spune 21 x 113 x 103) (4.26) 2. I to any 1827 e relation between linea Speed speed and angular is {wa angular speed 4.26 W 2 2 2.98x103 W 2 1717.7 rad/sec from Conservation of mechanical energy of the Systu Kibroty z U K: Goot & Kittray angle ke ingl-Rif 2 tron 21.3178 - 1.027 KIG rot 20.2908 I t

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