Single Strand
February 3rd, 2010
11When a 100-N bag of nails hangs motionless from a single vertical strand of rope, how many newtons…?
When a 100-N bag of nails hangs motionless from a single vertical strand of rope, how many newtons of tension are exerted in the strand? How about if the bag is supported by four vertical strands?
please explain what this question is asking, and what the answer is and why. i really want to try and understand physics. thanks =)
this is one of newton’s laws, the second which states that “The rate of change of momentum of a body is proportional to the resultant force acting on the body and is in the same direction.” this is represented by the equation F = ma where F=force, m=mass of object and a=acceleration (in free-fall, it is equivalent to the acceleration due to gravity or g=9.81m/s.
taking your example, when you hang an object weighing 100N by a single rope, the force exrted by the rope is also 100N although in the opposite direction. the direction of the force of the bag of nails is downward and direction of the force exerted by the rope is upwards.
if there are four strands tied to the bag, the total force exerted by each strand will be equal to 100N but the force in each strand is different depending on the angle made by the strand with respect to the vertical y-axis.
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