Bif and Hap both want the 12.0 kg file cabinet. Bif pulls to the left with a force of 200 N. Hap exerts a force of 200 N to the right, at an angle of 30 degree above horizontal.
a.)Draw the free-body diagram of the cabinet with all forces labeled and calculated.
b.)What is the speed and direction of the cabinet 2.0 s after they both start pulling?
2 answers
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F1 = -200 N.
F2 = 200N.[30o].
Fr = F1 + F2 = -200 + 200[30].
Fr = (-200+200*Cos30) + (200*sin30)I = -26.8 + 100i = 103.5N.[-75o].
Fr = 103.5N.[75o] N. of W. = 103.5N.[105o] CCW from +x-axis.
Fr = Resultant force.
b. Fr = M*a.
a = Fr/M = 103.5[105]/12 = 8.625 m/s^2[105o].
V = Vo + a*T = 0 + 8.625[105o]*2 = 17.25 m/s[105o]
F2 = 200N.[30o].
Fr = F1 + F2 = -200 + 200[30].
Fr = (-200+200*Cos30) + (200*sin30)I = -26.8 + 100i = 103.5N.[-75o].
Fr = 103.5N.[75o] N. of W. = 103.5N.[105o] CCW from +x-axis.
Fr = Resultant force.
b. Fr = M*a.
a = Fr/M = 103.5[105]/12 = 8.625 m/s^2[105o].
V = Vo + a*T = 0 + 8.625[105o]*2 = 17.25 m/s[105o]