Question
Chapter3 University Closed Monday 9/4/2017 Motion in 2-Dimensions, Circular Motion Sept 4 - Sept 8, 2017 a) The figure below shows a block with mass M1 - 20 kg. sitting on an incline plane that makes a 30 dagroe angle rith the horizontal. The mass M1 is attached to a light cord that runs over a frictionless puley, that routes the string to a second block, with mass M2 24 kg, hanging vertically, as shown. Calculate the magnitude of the static coeffcient A) Mu-s 0.202 of friction for the inclined surface. Choose from the closest answer bollow ergy C)Mu-s = 0.101;or D) Mu.s o.404. la M 1 30° M2 9) The figure below shows a block with mass M1 20 kg, sitting on a smooth incline plane that makes a 45 degree angle with the horizontal. The mass M1 is attached to a light cord that runs over a frictionless pulley, that string to a second block, with mass M2, with unknown mass, hanging vertically, as shown. When released, the mass M2 descends 12 meters in 3 seconds. Calculate the magnitude of M2 requir motion described. Choose from the closest answer bellow. A/M2 = 27 kg B) M2 = 54 kg C) M2 14 kg: or D) M2 81 kg. the masses are ed to cause the M1 45° M2 10) Consider a mass M1 = 100 g, that is hanging from a spring with force constant k : 10 N/m, that is attached to the ceiling. If the mass spring combination is released from it's equilibrium (unextended) position, calculate the maximum displacement of the mass, as it oscillates vertically against the force of gravity. Choose from the closest answer bellow. A) 9.8 cm; B) 4.9 cm C) 2.45 cm; or D) 1.2 cm.
Explanation / Answer
solving 1st question of the page
Let the coefficient of friction be u
for mass M2
T=M2*g
for M1
T=M1*gsin(theta) +uM1*gcos(theta)
M2*g=M1*gsin(theta) +uM1*gcos(theta)
we got
u=0.808