document.write( "Question 847151: A 15N force acting at 15 degrees north of east and a 18N force acting at 79 degrees north of west act concurrently on an object. What is the magnitude and direction of a third force that produces equilibrium on the object? Show sketch and work. \n" ); document.write( "
Algebra.Com's Answer #510204 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A 15N force acting at 15 degrees north of east and a 18N force acting at 79 degrees north of west act concurrently on an object. What is the magnitude and direction of a third force that produces equilibrium on the object? Show sketch and work. \n" ); document.write( "------ \n" ); document.write( "x-component:: 15*cos(15 deg)+18cos(101 deg) = 11.05 \n" ); document.write( "--- \n" ); document.write( "y-component:: 15*sin(15 deg)+18sin(101 deg) = 21.55 \n" ); document.write( "-------- \n" ); document.write( "magnitude = sqrt[11.05^2+21.55^2] = 24.22 \n" ); document.write( "--- \n" ); document.write( "direction = arctan(21.55/11.05) = 62.85 degrees north of east \n" ); document.write( "====================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------------------------------- \n" ); document.write( " |