If the resultant force acting on the eyebolt is 1600 N and its direction measured clockwise from the positive x-axis is 30°

Question

Question

If the resultant force acting on the eyebolt is 1600 N and its direction measured clockwise from the positive x-axis is 30°

Force Vectors

If the resultant force acting on the eyebolt is 1600 N and its direction measured clockwise from the positive x-axis is 30°, determine force (F1) & angle (φ) for the shown figure.

science physics

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Add a comment

Answer 2

Answer #2

SOLUTION :

Let us use u for “phi” symbol.

Now,

∑Fx = 0

=> F1 cos(u) + 500 cos(60) - 450 * 3/5 - 1600 cos(30) = 0

=> F1 cos(u) - 1405.64 = 0

=> F1 cos(u) = 1405.64 (N) .......... (1)

∑Fy = 0

=> 1600 sin(30) + F1sin(u) - 500 sin(60) - 450 * 4/5 = 0

=> F1 sin(u) + 6.99 = 0

=> F1 sin(u) = - 6.99 …………… (2)

Doing (1) / (2), we get, cot (u) = 1405.64/(-6.99) = - 201.70

=> u = phi = acot (- 201.70) = - 0.2848º

Direction of F1 is at 0.2848º measured clockwise from x-axis

(ANSWER).

Now,

F1 = 1405.64 / cos(-0.2848) = 1405.66 (N) (ANSWER)

answered by: Tulsiram Garg

Add a comment

Answer 3

Answer #3

SOLUTION :

Let us use u for “phi” symbol.

Now,

∑Fx = 0

=> F1 cos(u) + 500 cos(60) - 450 * 3/5 - 1600 cos(30) = 0

=> F1 cos(u) - 1405.64 = 0

=> F1 cos(u) = 1405.64 (N) .......... (1)

∑Fy = 0

=> 1600 sin(30) + F1sin(u) - 500 sin(60) - 450 * 4/5 = 0

=> F1 sin(u) + 6.99 = 0

=> F1 sin(u) = - 6.99 …………… (2)

Doing (1) / (2), we get, cot (u) = 1405.64/(-6.99) = - 201.70

=> u = phi = acot (- 201.70) = - 0.2848º

Direction of F1 is at 0.2848º measured clockwise from x-axis

(ANSWER).

Now,

F1 = 1405.64 / cos(-0.2848) = 1405.66 (N) (ANSWER)

answered by: Tulsiram Garg

Add a comment

Answer 4

Similar Homework Help Questions

2-1. If θ= 30° and T = 6kN, determine the magnitude of the resultant force acting on the eyebolt and its direction measured clockwise from the positive x axis.

2-1. If θ= 30° and T = 6kN, determine the magnitude of the resultant force acting on the eyebolt and its direction measured clockwise from the positive x axis. 2-2. If θ = 60° and T = 5 kN, determine the magnitude of the resultant force acting on the eyebolt and its direction measured clockwise from the positive x axis. 2-3. If the magnitude of the resultant force is to be 9 kN directed along the positive x axis, determine the magnitude...
Determine the magnitude of the resultant force and its direction, measured clockwise from the positive x...

Determine the magnitude of the resultant force and its direction, measured clockwise from the positive x axis F1 = 4kNF2 = 5kN F3 = 8kN
Determine the magnitude of the resultant force acting on the pin (Figure 1) and its direction...

Determine the magnitude of the resultant force acting on the pin (Figure 1) and its direction measured clockwise from the positive x-axis.

Determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive...

Determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis. F1 = 200 N F2 = 150N
Determine the magnitude of the resultant force acting on thescrew eye and its direction measured...

Determine the magnitude of the resultant force acting on the screw eye and its direction measured clockwise from the x axis.
Determine the magnitude of the resultant force acting on the plate and its direction

Determine the magnitude of the resultant force acting on the plate and its direction, measured counterclockwise from the positive x-axis.F1 = 900N, F3 = 650N, F2 = 750N

In Figure 2, determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis.

In Figure 2, determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis.
Determine the resultant force direction, measured counterclockwise from positive x axis. Part A If0-60 and F...

Determine the resultant force direction, measured counterclockwise from positive x axis. Part A If0-60 and F 470 N, determine the magnitude of the resultant force. (Figure 1) FR 496 N Correct Part B ure 1of 1 > Determine the resultant force direction, measured counterclockwise from the positive r axis wer using three significant figures 147 700 N X Incorrect; Try Again Not quite. Check through your wrong number of significant figures.
If FB = 3 kN and θ = 45°, determine the magnitude of the resultant force of the two tugboats and its direction measured clockwise form the positive x axis.

If FB = 3 kN and θ = 45°, determine the magnitude of the resultant force of the two tugboats and its direction measured clockwise form the positive x axis.

Determine the magnitude and direction of the resultant force, measured counterclockwise from the positive x axis

Determine the magnitude and direction of the resultant force, measured counterclockwise from the positive x axis. Solve by first finding the resultant F' = F2 + F3 and then forming FR = F'+F1. Make sure to show all steps. Use the Parallelogram method.

If the resultant force acting on the eyebolt is 1600 N and its direction measured clockwise from the positive x-axis is 30°

Homework Answers

Add Answer to:
If the resultant force acting on the eyebolt is 1600 N and its direction measured clockwise from the positive x-axis is 30°

Post as a guest

Earn Coins

2-1. If θ= 30° and T = 6kN, determine the magnitude of the resultant force acting on the eyebolt and its direction measured clockwise from the positive x axis.

Determine the magnitude of the resultant force and its direction, measured clockwise from the positive x...

Determine the magnitude of the resultant force acting on the pin (Figure 1) and its direction...

Determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive...

Determine the magnitude of the resultant force acting on thescrew eye and its direction measured...

Determine the magnitude of the resultant force acting on the plate and its direction

In Figure 2, determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis.

Determine the resultant force direction, measured counterclockwise from positive x axis. Part A If0-60 and F...

If FB = 3 kN and θ = 45°, determine the magnitude of the resultant force of the two tugboats and its direction measured clockwise form the positive x axis.

Determine the magnitude and direction of the resultant force, measured counterclockwise from the positive x axis

If the resultant force acting on the eyebolt is 1600 N and its direction measured clockwise from the positive x-axis is 30°

Homework Answers

Add Answer to: If the resultant force acting on the eyebolt is 1600 N and its direction measured clockwise from the positive x-axis is 30°

Post as a guest

Earn Coins

Add Answer to:
If the resultant force acting on the eyebolt is 1600 N and its direction measured clockwise from the positive x-axis is 30°