document.write( "Question 1195922: A 1 m meter stick of negligible mass has center of rotation at point O at one end of the stick and two force acted on the other end of the stick. Given F1 = 16 N with 30° and F2 = 8 N with -40°, what is the magnitude of the net torque on the meter stick about the axis of rotation O? \n" ); document.write( "

Algebra.Com's Answer #828556 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A 1 m meter stick $\"highlight%28cross%28of%29%29\"$ $\"highlight%28cross%28negligible%29%29\"$ $\"highlight%28cross%28mass%29%29\"$ has center of rotation at point O
\n" ); document.write( "at one end of the stick and two force acted on the other end of the stick.
\n" ); document.write( "Given F1 = 16 N with 30° and F2 = 8 N with -40°, what is the magnitude
\n" ); document.write( "of the net torque on the meter stick about the axis of rotation O?
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document.write( "You can imagine that the point O (the rotation center) is the origin \r\n" );
document.write( "of the coordinate system and that the stick is placed\r\n" );
document.write( "along the positive direction of x-axis.\r\n" );
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document.write( "You are given forces F1 and F2 acting at the other end of the stick at\r\n" );
document.write( "angle 30° and angle -40° to this axis.\r\n" );
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document.write( "Since they ask about the torque, all you need is to know VERTICAL components \r\n" );
document.write( "of the forces. They are\r\n" );
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document.write( "     = 16*sin(30°) = 16*0.5 = 8 newtons\r\n" );
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document.write( "and\r\n" );
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document.write( "     = 8*sin(-40°) = -8*0.6428 = -5.1424 newtons.\r\n" );
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document.write( "So, the net force acting at the end of the stick has y-component of 8 - 5.1424 = 2.8576 newtons,\r\n" );
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document.write( "and therefore the magnitude of the net torque is\r\n" );
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document.write( "    M = 2.8576 N * 1 m = 2.8576 N*m.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "As simple as a cucumber is.\r
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\n" ); document.write( "\n" ); document.write( "The words \" of negligible mass \" in the problem's formulation are excessive: this condition is not used in the solution \r
\n" ); document.write( "\n" ); document.write( "and does not make any influence on (as well as does not make any contribution to) a physics of this problem.\r
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