Question

In: Statistics and Probability

1- Three forces act on a point: 3 N at 0°, 4 N at 90°, and...

1- Three forces act on a point: 3 N at 0°, 4 N at 90°, and 5 N at 217°.

a. What is the net force? b. What fourth force will put the point in equilibrium?

2- A 100 kg wooden crate rests on a wooden ramp with an adjustable angle of

inclination.

a. Draw a free body diagram of the crate. b. If the angle of the ramp is set to 10°, determine...

i. the component of the crate's weight that is perpendicular to the

ramp ii. the component of the crate's weight that is parallel to the ramp iii. the normal force between the crate and the ramp iv. the static friction force between the crate and the ramp

v. At what angle will the crate just begin to slip?

Solutions

Expert Solution

Thank You!!

Please Upvote!!!


Related Solutions

Two forces, 1 = (5.20î − 3.15ĵ) N and 2 = (3.40î − 4.45ĵ) N, act...
Two forces, 1 = (5.20î − 3.15ĵ) N and 2 = (3.40î − 4.45ĵ) N, act on a particle of mass 2.20 kg that is initially at rest at coordinates (+2.05 m, +3.90 m). (a) What are the components of the particle's velocity at t = 11.7 s? =    m/s (b) In what direction is the particle moving at t = 11.7 s?    ° counterclockwise from the +x-axis (c) What displacement does the particle undergo during the first 11.7 s?...
Given a sequence x(n) for 0 ≤ n ≤ 3, where x(0)=4, x(1)=3, x(2)=2, and x(3)=1,...
Given a sequence x(n) for 0 ≤ n ≤ 3, where x(0)=4, x(1)=3, x(2)=2, and x(3)=1, evaluate your DFT X(k)
Two forces, F 1 and F 2, act at a point, as shown in the picture....
Two forces, F 1 and F 2, act at a point, as shown in the picture. (Figure 1) F 1 has a magnitude of 9.80 N and is directed at an angle of α = 59.0 ∘ above the negative x axis in the second quadrant. F 2 has a magnitude of 5.40 N and is directed at an angle of β = 52.3 ∘ below the negative x axis in the third quadrant. What is the x component Fx...
A. Three forces in the x-y plane act on a 6.60 kg mass: 12.30 N directed...
A. Three forces in the x-y plane act on a 6.60 kg mass: 12.30 N directed at 53o, 10.60 N directed at 167o, and 7.40 N directed at 258o. All angles are measured from the positive x-axis, with positive angles in the Counter-Clockwise direction. Calculate the magnitude of the acceleration. B.Calculate the direction of the resultant force using the same sign convention as above (in degrees).
A) Three forces in the x-y plane act on a 5.20 kg mass: 16.90 N directed...
A) Three forces in the x-y plane act on a 5.20 kg mass: 16.90 N directed at 21o, 7.00 N directed at 160o, and 11.30 N directed at 211o. All angles are measured from the positive x-axis, with positive angles in the Counter-Clockwise direction. Calculate the magnitude of the acceleration. B) Calculate the direction of the resultant force using the same sign convention as above (in degrees).
Q1)Two forces, F⃗ 1 and F⃗ 2, act at a point. The magnitude of F⃗ 1...
Q1)Two forces, F⃗ 1 and F⃗ 2, act at a point. The magnitude of F⃗ 1 is 9.80 N , and its direction is an angle 58.0 ∘ above the x-axis in the second quadrant. The magnitude of F⃗ 2 is 6.40 N , and its direction is an angle 52.7 ∘ below the x-axis in the third quadrant. a-What is the x-component of the resultant force? b-What is the y-component of the resultant force? c-What is the magnitude of...
Two forces, F⃗ 1 and F⃗ 2, act at a point. F⃗ 1 has a magnitude...
Two forces, F⃗ 1 and F⃗ 2, act at a point. F⃗ 1 has a magnitude of 8.20 N and is directed at an angle of 64.0 ∘ above the negative x axis in the second quadrant. F⃗ 2has a magnitude of 5.20 N and is directed at an angle of 53.8 ∘ below the negative x axis in the third quadrant. Part A What is the x component of the resultant force? Part B What is the y component...
find the point on the line 6x+2y-3=0 which is closest to the point (-4, -4)
find the point on the line 6x+2y-3=0 which is closest to the point (-4, -4)
Two forces, F1 and F2, act at a point, as shown in the picture....
Two forces, F1 and F2, act at a point, as shown in the picture. (Figure 1) F1 has a magnitude of 8.00 N and is directed at an angle of α = 62.0 ∘ above the negative x axis in the second quadrant. F2 has a magnitude of 5.60 N and is directed at an angle of β = 52.8 ∘ below the negative x axis in the thirdA) What is the x component Fx of the resultant force?Express your...
Three forces act at point O. Force F1 has magnitude F1 = 17.4 kips. The direction...
Three forces act at point O. Force F1 has magnitude F1 = 17.4 kips. The direction angles for F1 are (α1, β1, γ1) = (76.6°, 108°, 22.6°). Force F2 = (−27.0i + 10.0j + 27.0k) kips. Force F3 = (4.00i + 6.00j − 34.0k) kips. (a)Determine the resultant force FR, = F1 + F2 + F3 in kips [reported in Cartesian vector form]. FR = _____ kips (b) Determine the magnitude of the resultant force in kips. ________kips (c) Determine...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT