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(a) Find the acceleration of the object for the configuration of forces shown in

ID: 1283786 • Letter: #

Question

(a) Find the acceleration of the object for the configuration of forces shown in Figure (a).

magnitude m/s2 direction Two forces F with arrow1) F with arrow1) (b) Find the acceleration of the object for the configuration of forces shown in Figure (b). magnitude m/s^2 ?o (counterclockwise from 5-p-01 3gif (a) Find the acceleration of the object for the configuration of forces shown in Figure (a) Magnitude m/s^2 ?0 (counterclockwise from F with arrow2 act on a 4.40-kg object. F1 = 40.0 N and F2 = 14.0 N. F with arrow1 and direction direction

Explanation / Answer

a) F2 = 14j

F1 = 40i

so F1+F2 = 40i+14j

hence a = 40i+14j/4.4 = 9.09i+3.18j

magnitude = sqrt(9.09*9.09+3.18*3.18) = 9.63m/s2

angle = 19.28 degrees from the x axis counterclockwise

b) F1 = 40i

F2 = 14cso(60)i+14sin(60)j = 7i+12.12j

hence net force = F1+F2 = 47i+12.12j

a = 47i+12.12j/4.4 = 10.68i+2.75j

magnitude = sqrt(10.68*10.68+2.75*2.75) = 11.03m/s2

angle= 14.44 degrees counterclockwise wrt F1