Three forces acting on a spherical mass M are depicted in the diagram below 40 3
ID: 1863659 • Letter: T
Question
Three forces acting on a spherical mass M are depicted in the diagram below 40 30 10 30 -20 -10 10 20 30 40 50 60 70 80 Force, Horizontal-component (N) A. Calculate the magnitude and direction (i.e., the angle with respect to the positive H-axis, measured positive as counter-clockwise) of the total force acting on M. Notice that the arrows representing the forces end on grid intersections. Magnitude Direction: Submit Answer Tries 0/20 B When a fourth force is applied to the mass, it is observed that the velocity of the mass stops changing and remains constant what are the horizontal and vertical components of hat fourth force? Horizontal: Vertical: Submit Answer Tries 0/20Explanation / Answer
the problem can be solved vectorially
Force F1=-10i N
Force F2=20i-20j N
Force F3=60i+60j
resultant force = -10i+20i-20j+60i+60j=70i+40j
magnitude of resultant force = sqrt(702+402)=80.62 N
direction of resultant force = tan-1 (40/70)=29.74o counterclockwise from positive horizontal axis
if the velocity stops changing, net force on object is zero
therefore, fourth force should have horizontal component = -70 N and vertical component=-40 N