12 (7 points) A uniform ladder of length5.00 m is leaning against n vertical, fr
ID: 1781210 • Letter: 1
Question
12 (7 points) A uniform ladder of length5.00 m is leaning against n vertical, frictionless wall such that the ladder makes an angle of 0-53.0° to the horizontal. The mass of the ladder is m-15.0 kg. A boy of mass M-35.0 kg climbs a distance d-2.00 m up the ladder. meusured akong ts length. Assuming thwt everything is equilabrium, wst is the magnitucke of the force of friction exeted on the ladder by the (herizontal) loar? IL.points) A thin rod of mass M-3.00 kg and length -1.60m is struck at one end by a ball of clay (which may be treted as a particle) of mass-0.200 kg, moving with speed-25.0ms ss shown in the fiure. The hall sticks to the rod. a) What is the angular momentum of the hall of clay ahout A the midpoint of the rod, before the collision? h) After the collision, what is the angalar veloeity of the clay- rod system about A?Explanation / Answer
11. M = 3 kg, L = 1.6 m, m = 0.2 kg, v = 25 m/s
a) angular momentum about A, = mv(L/2) = 0.2 x 25 x 0.8 = 4 kgm2/s
b) 4 = (Iw)
now I = ML2/12 + m(L/2)2 = 2.56/4 + 2.56/20 = 2.56 x 6/20 = 0.768 kgm2
=> w = 4/0.768 = 5.208333 rad/s
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