1. An object has three ropes pulling on it as shown in the diagram above. The fi
ID: 2232325 • Letter: 1
Question
1. An object has three ropes pulling on it as shown in the diagram above. The first rope makes a 60.0 degree angle with the x axis and is applying a force of 174 N to the object. The second rope makes an angle of 161 degrees with the x axis and is applying a force of 82 N. The third rope makes an angle of 270 degrees with the x axis and is applying a force of 212 N. a) What is the net force on the object in the x direction? b) What is the net force on the object in the y direction? c) Assuming friction is negligible, will the object move? Suppose we wanted to change the force and angle of the third rope in the diagram above so that the net force on the object is zero. Calculate: d) The x and y components of the third force e) The magnitude and direction (angle from the positive x axis) of the third force
Explanation / Answer
x component forces = 87- 77.53 = 9.467 N y componenet forces = 150.68 + 26.69 - 212 = -34.63 N F3 such that net force =0 then F3 = (-9.467i -177.37 j ) magnitude = 177.622 direction = 266.94 with + x axis in anti clock wise direction
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