A snowboarder starts from rest at the top of a double black diamond hill. As she rides down the slope, GPS coordinates are used to determine her displacement as a function of time: X = 0.5t3 + t2 + 2t, where x and tare expressed in meter and seconds, respectively. Determine the position (m) when t=5 seconds.

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: Asked: To express the force acting on the triangular face on a trough in form of a integral.…

Q: te the polar radius of gyration of the shaded area about its centroid C. = 110 mm, a = 420 mm, b =…

A: t=110mm a=420mm b=475mm To find polar radius of gyration

Q: Ex. Calculate Moment about point A. 3 т 300 N A 30 3 cos 30 3 sin 30

A: Given data Span length Angle  Point load.

Q: show complete solution, final answer should be in two decimal only, i will automatically give…

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Q: (5D3 + 3D2 — 32D + 12)у — 0 | A. y = c1e-2* + Cze¬0.4* + C3e3* B. y = c,e2* + cze0.2x + Cze-3x C. y…

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Q: Determine the horizontal displacement at A. Take E = 29(10³) ksi. The moment of inertia of each…

A: Given: Required: Horizontal displacement at A

Q: (bracke 1 4 kips/ft 4 kips/ft E 6 ft + 3 ft →+ 3 ft· ect one: а. 1 b. 2 с. 3 d. 0

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Q: Find the moment of inertia of the T-shaped area in Figure A.7 about its horizontal (X–X) centroidal…

A: The moment of inertia is the physical measure of the rotational inertia of a body.  it computes the…

Q: using the method in analysis of beam deflections and rotations ( AREA MOMENT METHOD), find the ff.…

A: E = 80GPa I = 100 x 106 mm4

Q: Do not include the unit in writing the answer. Express all values up to 3 decimal places. You can…

A: LINE LAT (m) DEP(m) DPD DA GE 20.000 32.000 DPD=Lat of line=20 640 ET -17.000 -7.000 DPD=DPD of…

Q: 2. Given: Rectangular area Find: Moments of inertia I, and I, and product of inertia I y 30° 30 mm…

A: Solution: Given Data: b=120 mmd=30 mmθ=30° Ix=120×30312=270000 mm4Iy=1203×3012=4320000 mm4Since xy…

Q: The total head loss from A to E is 20 m, and f = 0.020. Q1 = 0.7438 m/s. Determine the discharge in…

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Q: 40 kN 15 kN/m EI EI 30 kNm B. 3m A 6m

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Q: Determine the location of the centroid C (x, y) of the beam's cross-sectional area and then compute…

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Q: From the given frame shown in the figure with a constant value of El=3970 KN- sq. m., determine the…

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Q: 3. Calculate the vertical and horizontal displacements as well as the rotation at A. Given:…

A: Deflection at free end (in cantilever) due to load P acting at end, y = PL3 / 3EI Slope at free end…

Q: $) 20KN -14 kN/m 14 kN/m F bb ↓ ↓ ↓ ↓ E L L L 3 (21) 20kN 4m 5m 5m Q-Solve the frame using the angle…

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Q: y 400 N 3 2 30° 1 300 N 1 X 700 N

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Q: Using DIM, solve for: Ymax (mm) b. Өл (rad) а. 200 IT 50 P (kN) 80

A: For Macaulay's method, Section should pass through udl and should include all the loads acting over…

Q: B VA = 35 m/s 3.048 т A 1.8 т 30 т

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Q: Determine the moment of inertia ly (in.“) of the shaded area about the y-axis.

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Q: For the instant represented point Bcrosses the horizontal axis through point O with a downward…

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Q: Question 8 Find the moment of inertia of the area bounded by the parabola y2 = 4x, x-axis, and the…

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Q: 5) Calculate the horizontal displacement of B and the vertical displacement of D. 5m B 21 -4 m- I 1…

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Q: For the area shown below, find the centroid of the area in the y-direction and then calculate the…

A: To find: area,Centroid of area in y direction,moment of inertia about centroid in y- direction

Q: 2. Determine the deflections at point A and point E using Double Integration Method (DIM). 10 k/ft 5…

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Q: Determine the horizontal displacemen 9(10³) ksi. The moment of inertia of eac

A: Solution-Calculate the vertical reaction at point A .   consider two points on the beam at a…

Q: Y 3" X r= 3" 4" 1" 2"

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Q: 02-calculate the vertical movement of Points

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Q: (3) Use Virtual Work to determine slopes at A, B and C, and the displacement at C. Check all results…

A: As per policy, only one question can be answered. For solution using the moment area method kindly…

Q: 3. Determine the centroidal moment of inertia, Ix and ly, the polar moment of inertia J, and the…

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Q: A 10 kN/m B D 30 kNm 80 kN 3m 2m

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Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.