1)Draw the following vectors and the resultant and calculate the magnitude and direction. Velocities of: 3m/s...
1)Draw the following vectors and the resultant and calculate the magnitude and direction. Velocities of: 3m/s at 18° and 7m/s at 115° when acting simultaneously on a point. 2)Acceleration of a⃗ = 1.5 m/s2 at 90° and b⃗ = 2.6 m/s2 at 145° act at a point. Draw a diagram and find a⃗ − b⃗ . 3)A ship heads in a direction of E 20°S at a speed of 20 knots while the current is 4 knots in a direction of N 30° E. Draw the two vectors and the resultant.
Homework Answers
Use concepts of vectors. 
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1)Draw the following vectors and the resultant and calculate the
magnitude and direction. Velocities of: 3m/s...
1. Draw the following vectors and the resultant and calculate the magnitude and direction. Velocities of:...
1. Draw the following vectors and the resultant and calculate the magnitude and direction. Velocities of: 3m/s at 18° and 7m/s at 115° when acting simultaneously on a point. (7.27m/s at 90.8°) 2. A ship heads in a direction of E 20°S at a speed of 20 knots while the current is 4 knots in a direction of N 30° E. Draw the two vectors and the resultant. [21.07 knots, E 9.22° S] 3. An object is acted upon by...
2. A ship heads in a direction of E 20°S at a speed of 20 knots...
2. A ship heads in a direction of E 20°S at a speed of 20 knots while the current is 4 knots in a direction of N 30° E. Draw the two vectors and the resultant. [21.07 knots, E 9.22° S] 3. An object is acted upon by two forces of magnitude 10N and 8 N at an angle of 60° to each other. Draw the two vectors and the resultant. [15.62N at 26.33° to the 10N force]
4. Three forces of 2 N, 3 N and 4N act as shown below: Calculate the...
4. Three forces of 2 N, 3 N and 4N act as shown below: Calculate the magnitude of the resultant and it's direction relative to the 2 N force. [6.24 N at 76.10°] 4N 60 3N 60° 2 N 1.5 m/s2 at 90° and b 2.6 m/s2 at 145° act at a [2.13 m/s2 at 0°] 5. Acceleration of a point. Draw a diagram and find a - b
Find the magnitude and direction of the resultant of the three force vectors, and , shown...
Find the magnitude and direction of the resultant of the three force vectors, and , shown in the figure. These vectors have the following magnitude A=5.0 1b, B=10.0 1b, and c=6.0 1b. Express the direction of the resultant by specifying the angle it makes with the +x-axis, with counterclockwise angles taken to be positive.A player hits a tennis ball into the air with an initial velocity of 36 m/s at 36+ from the vertical. How fast is the ball moving...
Find the magnitude and direction of the resultant vector of the following four vectors. Calculate the...
Find the magnitude and direction of the resultant vector of the following four vectors. Calculate the angle relative to x axis. Vector A: 10 m, 30* above the +x axis Vector B: 12 m, 15° left of +y axis Vector C: 7 m, 20° below the -x axis Vector D: 15 m, 40* right of -y axis
a) The horizontal force(s) (direction and magnitude) acting on the gate per unit width and draw the pressure distribution diagram(s) [6 marks] b) The vertical force(s) acting on the gate per unit wid...
a) The horizontal force(s) (direction and magnitude) acting on
the gate per unit width and draw the pressure distribution
diagram(s) [6 marks] b) The vertical force(s) acting on the gate
per unit width (Include direction and magnitude). [6 marks] c) If
the gate is 5 m long (into the page), calculate the magnitude,
direction and angle of the resultant hydrostatic force acting on
the gate. [7 marks] d) The net horizontal force acting on the dam
per unit width. Include...
To calculate the resultant couple and force at a point for a given force and couple...
To calculate the resultant couple and force at a point for a
given force and couple system.
Two forces F1F1F1 = 75 NN and F2F2F2 = 255 NN and two moments
M1M1M1 = 100 N⋅mN⋅m and M2M2M2 = 50 N⋅mN⋅m act on the beam as shown
in (Figure 1).
DO NOT ATTEMPT TO ANSWER IF YOU ARE NOT AN EXPERT, AVOID
BEING REPORTED, ONLY ANSWER IF YOU TRULY KNOW WHAT YOU ARE DOING
AND ARE AN EXPERT IN THE SUBJECT!...
To take the time derivate of vectors that are defined in terms of fixed and moving coordinate systems. Students should be able to use the time derivative of vectors to calculate the linear and angular...
To take the time derivate of vectors that are defined in terms
of fixed and moving coordinate systems. Students should be able to
use the time derivative of vectors to calculate the linear and
angular acceleration of points on a body.
A satellite floating in space is subjected to three angular
velocities, ωA, ωZ and ωy. At the instant shown ωA is directed
along the antenna ending at Aand has a magnitude of 5.50 rad/s , ωZ
has a magnitude...
5. 3. State the magnitude and direction of each of the vectors given below. a) r--30...
5.
3. State the magnitude and direction of each of the vectors given below. a) r--30 m (displacement vector) b) v 60 m/s west (velocity vector) c) F 20 N at-45° (force vector) d) p50 kg m/s at 25° (linear momentum vector) 4. Provide a graphical example of a 1-dimensional vector (ID) and one of a 2- dimensional vector (2D). Be sure to include reference axes with labels in each case. 5. 1D Vectors. Let vector A +3 units and...
Find x- and y-components of the following vectors. 1) v⃗ =(9.0m/s,negativey−direction) Express your answers using two...
Find x- and y-components of the following
vectors.
1) v⃗ =(9.0m/s,negativey−direction)
Express your answers using two significant figures. Enter your
answers numerically separated by a comma
2) a⃗ =(24m/s2,58∘belowpositivex−axis)
Express your answers using two significant figures. Enter your
answers numerically separated by a comma.
3)
F⃗ =(70N,47.5∘counterclockwisefrompositivey−axis)
Express your answers using two significant figures. Enter your
answers numerically separated by a comma.
Find x- and y-components of the following vectors. - Part A V = (9.0m/s, negative y direction) Express...
1. Draw the following vectors and the resultant and calculate the magnitude and direction. Velocities of: 3m/s at 18° and 7m/s at 115° when acting simultaneously on a point. (7.27m/s at 90.8°) 2. A ship heads in a direction of E 20°S at a speed of 20 knots while the current is 4 knots in a direction of N 30° E. Draw the two vectors and the resultant. [21.07 knots, E 9.22° S] 3. An object is acted upon by...
2. A ship heads in a direction of E 20°S at a speed of 20 knots while the current is 4 knots in a direction of N 30° E. Draw the two vectors and the resultant. [21.07 knots, E 9.22° S] 3. An object is acted upon by two forces of magnitude 10N and 8 N at an angle of 60° to each other. Draw the two vectors and the resultant. [15.62N at 26.33° to the 10N force]
4. Three forces of 2 N, 3 N and 4N act as shown below: Calculate the magnitude of the resultant and it's direction relative to the 2 N force. [6.24 N at 76.10°] 4N 60 3N 60° 2 N 1.5 m/s2 at 90° and b 2.6 m/s2 at 145° act at a [2.13 m/s2 at 0°] 5. Acceleration of a point. Draw a diagram and find a - b
Find the magnitude and direction of the resultant of the three force vectors, and , shown in the figure. These vectors have the following magnitude A=5.0 1b, B=10.0 1b, and c=6.0 1b. Express the direction of the resultant by specifying the angle it makes with the +x-axis, with counterclockwise angles taken to be positive.A player hits a tennis ball into the air with an initial velocity of 36 m/s at 36+ from the vertical. How fast is the ball moving...
Find the magnitude and direction of the resultant vector of the following four vectors. Calculate the angle relative to x axis. Vector A: 10 m, 30* above the +x axis Vector B: 12 m, 15° left of +y axis Vector C: 7 m, 20° below the -x axis Vector D: 15 m, 40* right of -y axis
a) The horizontal force(s) (direction and magnitude) acting on
the gate per unit width and draw the pressure distribution
diagram(s) [6 marks] b) The vertical force(s) acting on the gate
per unit width (Include direction and magnitude). [6 marks] c) If
the gate is 5 m long (into the page), calculate the magnitude,
direction and angle of the resultant hydrostatic force acting on
the gate. [7 marks] d) The net horizontal force acting on the dam
per unit width. Include...
To calculate the resultant couple and force at a point for a
given force and couple system.
Two forces F1F1F1 = 75 NN and F2F2F2 = 255 NN and two moments
M1M1M1 = 100 N⋅mN⋅m and M2M2M2 = 50 N⋅mN⋅m act on the beam as shown
in (Figure 1).
DO NOT ATTEMPT TO ANSWER IF YOU ARE NOT AN EXPERT, AVOID
BEING REPORTED, ONLY ANSWER IF YOU TRULY KNOW WHAT YOU ARE DOING
AND ARE AN EXPERT IN THE SUBJECT!...
To take the time derivate of vectors that are defined in terms
of fixed and moving coordinate systems. Students should be able to
use the time derivative of vectors to calculate the linear and
angular acceleration of points on a body.
A satellite floating in space is subjected to three angular
velocities, ωA, ωZ and ωy. At the instant shown ωA is directed
along the antenna ending at Aand has a magnitude of 5.50 rad/s , ωZ
has a magnitude...
5.
3. State the magnitude and direction of each of the vectors given below. a) r--30 m (displacement vector) b) v 60 m/s west (velocity vector) c) F 20 N at-45° (force vector) d) p50 kg m/s at 25° (linear momentum vector) 4. Provide a graphical example of a 1-dimensional vector (ID) and one of a 2- dimensional vector (2D). Be sure to include reference axes with labels in each case. 5. 1D Vectors. Let vector A +3 units and...
Find x- and y-components of the following
vectors.
1) v⃗ =(9.0m/s,negativey−direction)
Express your answers using two significant figures. Enter your
answers numerically separated by a comma
2) a⃗ =(24m/s2,58∘belowpositivex−axis)
Express your answers using two significant figures. Enter your
answers numerically separated by a comma.
3)
F⃗ =(70N,47.5∘counterclockwisefrompositivey−axis)
Express your answers using two significant figures. Enter your
answers numerically separated by a comma.
Find x- and y-components of the following vectors. - Part A V = (9.0m/s, negative y direction) Express...
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