7. Given o, = 30°,02-45°, Fra 1500 N. Find Fi and F. (Answers: 1225 N, 1673 N) N

Question

7. Given o, = 30°,02-45°, Fra 1500 N. Find Fi and F. (Answers: 1225 N, 1673 N) Name 6, 8. A5.00-kg chandelier hangs from the ceiling of an elevator by a cable. The ele initially rising at a speed of 4.00 m/s, but slows uniformly to a stop in 2.00 s. free-body diagram of the chandelier and calculate the tension in the cable. (a) while the elevator is still moving upward at a constant speed of 4.00 m (b) while the elevator is slowing to a stop. (Answer: 39 N) (c) after the elevator has come to a stop. A 2.00 kg block is placed on a 30.0 degree inclined plane, held at rest, an The coefficients of static and kinetic friction between the block and the and 0.200, respectively. At the moment the block is released, a force P horizontally, begins pushing on it, as shown in the diagram below. Dra diagram for the block. Then, determine the magnitude of the friction 9. the block if

Explanation / Answer

here,

7)

theta1 = 30 degree

theta2 = 45 degree

equating the forces in x direction

F2 * cos(theta2) = F1 * cos(theta1)

1500 * cos(45) = F1 * cos(30)

solving for F1

F1 = 1224.8 N

equating the forces in y direction

F3 = F1 * sin(theta1) + F2 * sin(theta2)

F3 = 1224.8 * sin(30) + 1500 * sin(45)

F3 = 1672.9 N

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