Answers to Mechanics Problems

Question 1.:
cos 14 degrees = adj/hyp; .97 x 75 N = 72.75 N


Question 2.:
Compressive force: cos 9 degrees = adj/hyp; .99 x 28.00 lbs. = 27.72 lbs

Rotary force: sin 9 degrees = op/hyp; .16 x 28.00 lbs = 4.48 lbs


Question 3.:
cos 42 degrees = adj/hyp; .74 x 35.30 lbs. = 26.12 lbs


Question 4-a.:
Before surgery: MA = fa/wa; 5.3 cm/14.8 cm = .36

After surgery: MA = (5.3 cm + 1.1 cm)/14.8 cm = .43

Question 4-b.:
(.36 - .43)/.36 = .07 (absolute value)/.36 = .19 x 100 = 19% improvement in MA

Question 4-c.:
Before surgery: tan angle = op/hyp; 5.3 cm/7.6 cm = .697; look up .697 = 53 or 54 degrees

After surgery: tax angle = 6.4 cm/7.6 cm = .842; look up .842 = 43 or 44 degrees