Question 1 Figure Qta shows two cables attached to a half-ring anchor point as shown in Figure Q1a. Force Fr acts vertically with a force of 2170 N; and F2 acts at an angle 8 relative to the y-axis with a force of 1240 N. F1 F2 Figure Qta Cable Anchor Point a) For Figure Q1a, at what angle @ must the force F2 (= 1240 N) be applied in order that the resultant force R of the two forces F1 and F2 has a magnitude of 3100 N? Give your answer in degrees to 2 decimal places. [10 marks) b) For Figure Q1a, what is the angle between the resultant force R (3100 N) and the y-axis. Give your answer in degrees to 2 decimal places. (8 marks)
Question 1 Figure Qta shows two cables attached to a half-ring anchor point as shown in Figure Q1a. Force Fr acts vertically with a force of 2170 N; and F2 acts at an angle 8 relative to the y-axis with a force of 1240 N. F1 F2 Figure Qta Cable Anchor Point a) For Figure Q1a, at what angle @ must the force F2 (= 1240 N) be applied in order that the resultant force R of the two forces F1 and F2 has a magnitude of 3100 N? Give your answer in degrees to 2 decimal places. [10 marks) b) For Figure Q1a, what is the angle between the resultant force R (3100 N) and the y-axis. Give your answer in degrees to 2 decimal places. (8 marks)
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Chapter1: Units, Trigonometry. And Vectors
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a and b
![Question 1
Figure Q1a shows two cables attached to a half-ring anchor point as shown in Figure Qfa.
Force Fr acts vertically with a force of 2170 N; and F2 acts at an angle e relative to the
y-axis with a force of 1240 N.
F1
F2
Figure Qta Cable Anchor Point
a) For Figure Q1a, at what angle @ must the force F2 (= 1240 N) be applied in order
that the resultant force R of the two forces F1 and F2 has a magnitude of 3100 N?
Give your answer in degrees to 2 decimal places.
[10 marks)
b) For Figure Q1a, what is the angle between the resultant force R (3100 N) and the
y-axis. Give your answer in degrees to 2 decimal places.
[8 marks)
c) The pulley system shown in Figure Q1c lifts a mass, m, of 550 kg. Calculate the
force Fa necessary to maintain the suspended mass in static equilibrium; and
determine the forces at the ceiling anchor points A and B. Assume frictionless
and weightless pulleys and use g = 9.81 m/s?.
(7 marks)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9869e0e4-bcc1-47a8-8234-ee36c9eaff60%2F5380d03d-fc51-49b4-9995-33462888c996%2F946hds7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
Figure Q1a shows two cables attached to a half-ring anchor point as shown in Figure Qfa.
Force Fr acts vertically with a force of 2170 N; and F2 acts at an angle e relative to the
y-axis with a force of 1240 N.
F1
F2
Figure Qta Cable Anchor Point
a) For Figure Q1a, at what angle @ must the force F2 (= 1240 N) be applied in order
that the resultant force R of the two forces F1 and F2 has a magnitude of 3100 N?
Give your answer in degrees to 2 decimal places.
[10 marks)
b) For Figure Q1a, what is the angle between the resultant force R (3100 N) and the
y-axis. Give your answer in degrees to 2 decimal places.
[8 marks)
c) The pulley system shown in Figure Q1c lifts a mass, m, of 550 kg. Calculate the
force Fa necessary to maintain the suspended mass in static equilibrium; and
determine the forces at the ceiling anchor points A and B. Assume frictionless
and weightless pulleys and use g = 9.81 m/s?.
(7 marks)
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