box is tethered to a frictionless ramp by a horizontal string as shown in the picture. The box is at rest. Is the normal force exerted by the ramp on the box greater than, less than, or equal to the weight of the box? Show a free body diagram and/or explain your reasoning.

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Chapter1: Units, Trigonometry. And Vectors
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A box is tethered to a frictionless ramp by a horizontal string as shown in the picture. The box is at rest. Is the normal force exerted by the ramp on the box greater than, less than, or equal to the weight of the box? Show a free body diagram and/or explain your reasoning. 

HINT: Make your free body diagram and notice that if the string is horizontal then the Weight and
the Tension force must be acting at 90 degrees from each other. Then do a separate diagram with
a graphical vector addition, noticing that if the system is in equilibrium the sum of all the force the
vectors must add up to zero, i.e. after adding all of the vectors the end of the last one must meet
the beginning of the first one. If you have your graphical vector addition right, you should have
formed a right angle triangle with all your vectors, with the right angle of the triangle at the
connection of the Weight and the Tension force vectors. Can the Normal force vector be shorter
or of the same length than the Weight vector?
Transcribed Image Text:HINT: Make your free body diagram and notice that if the string is horizontal then the Weight and the Tension force must be acting at 90 degrees from each other. Then do a separate diagram with a graphical vector addition, noticing that if the system is in equilibrium the sum of all the force the vectors must add up to zero, i.e. after adding all of the vectors the end of the last one must meet the beginning of the first one. If you have your graphical vector addition right, you should have formed a right angle triangle with all your vectors, with the right angle of the triangle at the connection of the Weight and the Tension force vectors. Can the Normal force vector be shorter or of the same length than the Weight vector?
u=0
Transcribed Image Text:u=0
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