The magnitudes of F1, F2 and F3 are 300, 190 and 250 N, respectively. F1 is...

The magnitudes of F1, F2 and F3 are 300, 190 and 250 N, respectively. F1 is directed on the slope m =
0.6 m/m. F2 is directed alpha = 0.17 radians from F1. F3 is directed beta =123 degrees from F2.
Determine the direction of the Resultant in degrees measured counter-clockwise from the + x-axis.

Expert Solution

genius_generous answered 1 year ago

Three forces of magnitudes F1=4.0N, F2=6.0N, and F3=8.0N areapplied to a block of mass m=2.0kg,...

Three forces of magnitudes F1=4.0N, F2=6.0N, and F3=8.0N are applied to a block of mass m=2.0kg, initially at rest, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (net) force by combining the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive).calculate the magnitude of the resultant forceF?r=F?1+F?2+F?3 acting on the block.What angle does F?r make with the positive xaxis?What is the...

Three forces of magnitudes F1=4.0N, F2=6.0N, and F3=8.0N are applied to a block of mass m=2.0kg,...

Three forces of magnitudes F1=4.0N, F2=6.0N, and F3=8.0N are applied to a block of mass m=2.0kg, initially at rest, at angles shown on the diagram. (Figure 1)In this problem, you will determine the resultant (net) force by combining the three individual force vectors. All angles should be measured a. Calculate the magnitude of the resultant force F1r=F1+F2+F3 acting on the block. b.What angle does Fr make with the positive x axis? c.What is the magnitude of the block's acceleration vector,...

Show that if (1) F1 and F2 are connected sets, and (2) F1 ∩ F2 is...

Show that if (1) F1 and F2 are connected sets, and (2) F1 ∩ F2 is not empty, then F1 ∪ F2 is connected. also Suppose that F is connected. Show that F¯ (the closure of F) is also connected.

Compute each of the following: a. F1+F2+F3+F4+F5 b. F1+2+3+4 c. F3xF4 d. F3X4 Given that FN...

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Given the vector F1 = 100 N, Ѳ1 = 20o , and F2 = 200 N,...

Given the vector F1 = 100 N, Ѳ1 = 20o , and F2 = 200 N, Ѳ2 = 90o and F3= 300 N, Ѳ3 =220o . Find the magnitude and direction of the resultant F= F1 + F2 + F3 using the following method: Analytical: Use the component method. (6pts.) Graphical: Use the polygon method. (6pts.) Use a percent error calculation to determine how close the graphical result are to the analytical method.

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Consider the following functions. f1(x) = cos(2x), f2(x) = 1, f3(x) = cos2(x) g(x) = c1f1(x)...

Consider the following functions. f1(x) = cos(2x), f2(x) = 1, f3(x) = cos2(x) g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the interval (−∞, ∞). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {c1, c2, c3} =? Determine whether f1, f2, f3 are linearly independent on the interval (−∞, ∞). linearly dependent or linearly independent?

Let f1(n) and f2(n) be asymptotically nonnegative functions. Using the formal definition of Θ-notation, prove that...

Let f1(n) and f2(n) be asymptotically nonnegative functions. Using the formal definition of Θ-notation, prove that max(f1(n), f2(n)) = Θ(f1(n)+f2(n)).

Consider two vectors F1 with magnitude 44 N inclined at 61 o and F2 with magnitude...

Consider two vectors F1 with magnitude 44 N inclined at 61 o and F2 with magnitude 98 N inclined at 139 o , measured from the positive x axis with counterclockwise positive. Find the direction of this resultant vector (between the limits of 0 and −180◦ from the positive x-axis). Answer in units of o . Your answer must be within ± 5.0%

Force F1=950 N has an angle of 30° with positive x-axis and Force F2=550 N has...

Force F1=950 N has an angle of 30° with positive x-axis and Force F2=550 N has an angle of -65° with positive x-axis. Find the values for F1x, F1y, F2x, F2y, Sum of Fx, Sum of Fy, and FR.

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