A mussless right angled triangle is spended with its right angle comer. A mass of 100kg is suspended from another comer ll which subtiends an angle 53^(@). Find the mass that should be suspended from other comer so that (hypolemic) remains horizontal.

A mussless right angled triangle is spended with its right angle comer

1.	A mussless right angled triangle is spended with its right angle comer. A mass of 100kg is suspended from another comer ll which subtiends an angle 53^(@). Find the mass that should be suspended from other comer so that (hypolemic) remains horizontal.
Answer» SOLUTION :From the principle of woments, `10xxgxx x_(1)-mxxg xx x_(2)` `100 cos53^(@)-mxxcos 37^(@)` Where, `x_(1) and x_(2)` are the ARM lengths. The right angle triangle with angles `37^(@).53^(@)` 53 and is a special triangle which has the respective SIDES in the ratio, 3:45 us SHOWN in the diagram. Substituting the values in equation (1) `100xx cos53^(@)= m xx cos 37^(@)` `100xx(3)/(5)=mxx(4)/(5)` `m=100xx(3)/(4)` `m=75 g`