For full credit you must show all steps in your answers.
1. Three forces act on the 55 kg block as shown in the diagram below. Show the
vector diagram
145 N
195N
450
175 N
Force
X component
Y component
F1
F2
F3
Sum of forces
(a)
Find the magnitude and direction (relative to the x-axis) of the net force
acting on the block.
(b)
Find the magnitude and direction (relative to the x-axis) of the acceleration
of the block.
2. Neglecting friction analyze the forces acting on the system below. Show all force
vectors.
122
kg
134
kg
(a) Calculate the acceleration of the system.
(b) Calculate the tension in the cable
3. Two cable wires suspend a 155 N sign as shown in the drawing below.
370
370
T
T
Welcome
To
Hogwarts
(a) Show the directions of the T, W, and the TX & TY components in the above
figure.
(b) Identify the equation. Show all work
(c) What is the tension in T ?
4. Analyze the forces acting on the figure below and calculate the Fapplied, FN, fK &
W, if the mass m = 15 kg, coefficient of kinetic friction K = 0.2 and the object is
moving with a = 4 m/sec2
FN
Fapplied
fk
W
a) Identify the unknown and known variables. Give all equations. Show your work.
5. A skier is going down a slope which is inclined at 150 with respect to the
horizontal. The coefficient of kinetic friction between the skies and the snow is
0.1. Find his acceleration. If the length of the slope is 120 m, and the skier starts
from rest, what is his velocity at the bottom of the slope?
150