1. Fill in the blanks FX FY F Angle (degrees) from the x axis 10 30 10 10 10 60 20 35 15 60 2. An airplane flew for one hour and
landed 120 miles north and 90 miles east from its origin. What was the distance traveled, speed and angle of direction from its origin? 3. A flagpole’s shadow is 50 meters long. The sun shines at an angle of 600 from the ground. How high is the flagpole? 4. A force has a magnitude of 50 newtons and direction of 400 from the x axis. Resolve the Fx and Fy components of the force. Also prove that these two forces can be resolved back to the original force.
1 answer:
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Answer:
94.67 N
Explanation:
Consider a free body diagram with force, F of 41 N applied at an angle of 37 degrees while the weight acts downwards. Resolving the force into vertical and horizontal components, we obtain a free body diagram attached.
At equilibrium, normal reaction is equal to the sum of the weight and the vertical component of the force applied. Applying the condition of equilibrium along the vertical direction.
Substituting 70 N for W, 41 N for F and for 37 degrees
N=70+41sin37=94.67441595 N and rounding off to 2 decimal places
N=94.67 N
