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Point "A" is on the part (rectangular block) shown in figure below and has a coordinate...
Use a rectangular coordinate system to plot u = v= and their images under the given...
Use a rectangular coordinate system to plot u = v= and their images under the given transformation T. Describe geometrically what T does to each vector x in R? X1 T(x) 00 01 X2 Which graph below shows u and its image under the given transformation? OA. OB. OC. OD. 2 Which graph below shows v and its image under the given transformation? OA OB O C. OD X1 2411 What does T do geometrically to each vector x in...
A unit cube as shown in Figure Q1 is undergoing the transformations described in (i) and...
A unit cube as shown in Figure Q1 is undergoing the transformations described in (i) and (ii) respectively. Sketch the resultant object with coordinates of each vertex after each transformation. (a) Z (0,1,1) (1,1,1) (0,0,1) (1,0,1) (0,0,0) (1,1,0) (1,0,0) Figure Q1 Transformation (i) (6 marks) 1. A Uniform scale by a factor of 2 2. Followed by a rotation about the-axis in counter-clockwise direction by 90 degrees 3. Followed by a transformation moving in the direction of < 2, 1,...
Four masses are at corners of a rectangle connected by massless rods as shown in Figure...
Four masses are at corners of a rectangle connected by massless
rods as shown in Figure 0.27.
(i) What is the moment of inertia of the system when the axis of
rotation is along the x-axis?
(ii) What is the moment of inertia of the system when the axis
of rotation is along the y-axis?
(iIi) What is the moment of inertia of the system when the axis of
rotation goes through point O and is perpendicular to the
xy-plane....
7 Use a rectangular coordinate system to plot u = |--[i and their images under the...
7 Use a rectangular coordinate system to plot u = |--[i and their images under the given transformation T. Describe geometrically what I does to each 2 vector x in R2. 0.5 0 X1 T(x) = 1 0 0.5 X2 Which graph below shows u and its image under the given transformation? OA B. D. M2 2 MX2 M2 6- 4- 2- 6- 6- 4- 2- T(U) U 6- 4- 2- Tu 4 X1 2- X1 LLE 2 4 6...
Calculate the concatenated transformation matrix for the following operations performed in the sequence as below: Translation...
Calculate the concatenated transformation matrix for the following operations performed in the sequence as below: Translation by 4 and 5 units along X and Y axis Change of scale by 2 units in X direction and 4 units in Y direction iii Rotation by 60° in CCW direction about Z axis passing through the point (4, 4). Find new coordinates when the transformation is carried out on a triangle ABC with A (4, 4), B (8, 4) and C (6,...
Consider the rectangular prism shaped wire shown in the figure below where the cross sectional part...
Consider the rectangular prism shaped wire shown in the figure
below where the cross sectional part is a square with sides d=10.1
mm. The current runs along the length of the wire where ℓ =7.3 m
and the wire has cylindrical hole along its length with a cross
sectional area of A=21 mm2. If the wire is made out of a material
whose resistivity is 126 × 10-6Ω.m , determine the resistance of
the wire.
Please express your answer in...
The rectangular plate shown in the figure below has the given loads uniformly distributed over the...
The rectangular plate shown in the figure below has the given loads uniformly distributed over the edges. The plate is 50 mm thick, AB is 500 mm and BC is 400 mm (a) (b) (c) (d) (e) Determine the shear forces which must operate on the edges BC and DA to maintain the equilibrium of the plate Relative to the x,y reference axes, determine the state of stress at any point P in the interior of the plate For the...
05 (20pts): The rod AB can rotate about point A as shown in the figure. During...
05 (20pts): The rod AB can rotate about point A as shown in the figure. During the rotation the collar C slides outward along AB. At any time instant the distance between the center of rotation and instantaneous position of the collar is r and given as a function of timer 407 wherer is in seconds. Similarly the angle between the x axis and instantaneous location of the collar is described as 0 =0.81'. O is given in radians. Determine...
If the system shown in the figure below is set in rotation about each of the...
If the system shown in the figure below is set in rotation about each of the axes listed below, find the torque that will produce an anqular acceleration of 4.5 rad/s in each case. (Enter your answers in N m.) 3.00 kg 2.00 kg 6.00 m 2.00 kgi 4.00 kg 4.00 m- rotation about the x-axis N m rotation about the y-axis N m rotation about an axis through O and perpendicular to the page N m
three point charges lie along the x axis as shown in the figure (no figure was...
three point charges lie along the x axis as shown in the figure (no figure was given). the positive charge q1=15 mc is at x=2 m, the positive charge q2 =6 mc is at the origin, and the resultant force acting on q3 is 0. what is the x coordinate of q3?
Use a rectangular coordinate system to plot u = v= and their images under the given transformation T. Describe geometrically what T does to each vector x in R? X1 T(x) 00 01 X2 Which graph below shows u and its image under the given transformation? OA. OB. OC. OD. 2 Which graph below shows v and its image under the given transformation? OA OB O C. OD X1 2411 What does T do geometrically to each vector x in...
A unit cube as shown in Figure Q1 is undergoing the transformations described in (i) and (ii) respectively. Sketch the resultant object with coordinates of each vertex after each transformation. (a) Z (0,1,1) (1,1,1) (0,0,1) (1,0,1) (0,0,0) (1,1,0) (1,0,0) Figure Q1 Transformation (i) (6 marks) 1. A Uniform scale by a factor of 2 2. Followed by a rotation about the-axis in counter-clockwise direction by 90 degrees 3. Followed by a transformation moving in the direction of < 2, 1,...
Four masses are at corners of a rectangle connected by massless
rods as shown in Figure 0.27.
(i) What is the moment of inertia of the system when the axis of
rotation is along the x-axis?
(ii) What is the moment of inertia of the system when the axis
of rotation is along the y-axis?
(iIi) What is the moment of inertia of the system when the axis of
rotation goes through point O and is perpendicular to the
xy-plane....
7 Use a rectangular coordinate system to plot u = |--[i and their images under the given transformation T. Describe geometrically what I does to each 2 vector x in R2. 0.5 0 X1 T(x) = 1 0 0.5 X2 Which graph below shows u and its image under the given transformation? OA B. D. M2 2 MX2 M2 6- 4- 2- 6- 6- 4- 2- T(U) U 6- 4- 2- Tu 4 X1 2- X1 LLE 2 4 6...
Consider the rectangular prism shaped wire shown in the figure
below where the cross sectional part is a square with sides d=10.1
mm. The current runs along the length of the wire where ℓ =7.3 m
and the wire has cylindrical hole along its length with a cross
sectional area of A=21 mm2. If the wire is made out of a material
whose resistivity is 126 × 10-6Ω.m , determine the resistance of
the wire.
Please express your answer in...
The rectangular plate shown in the figure below has the given loads uniformly distributed over the edges. The plate is 50 mm thick, AB is 500 mm and BC is 400 mm (a) (b) (c) (d) (e) Determine the shear forces which must operate on the edges BC and DA to maintain the equilibrium of the plate Relative to the x,y reference axes, determine the state of stress at any point P in the interior of the plate For the...
05 (20pts): The rod AB can rotate about point A as shown in the figure. During the rotation the collar C slides outward along AB. At any time instant the distance between the center of rotation and instantaneous position of the collar is r and given as a function of timer 407 wherer is in seconds. Similarly the angle between the x axis and instantaneous location of the collar is described as 0 =0.81'. O is given in radians. Determine...
If the system shown in the figure below is set in rotation about each of the axes listed below, find the torque that will produce an anqular acceleration of 4.5 rad/s in each case. (Enter your answers in N m.) 3.00 kg 2.00 kg 6.00 m 2.00 kgi 4.00 kg 4.00 m- rotation about the x-axis N m rotation about the y-axis N m rotation about an axis through O and perpendicular to the page N m
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