The figure shown is formed by three pieces. The darkest piece has a surface density of mass 2000 kg/m2. The other two have the same density of 800 kg / m2.
a) Calculate the position of the center of gravity
b) Calculate the moments of inertia with respect to two
perpendicular axes X and Y that pass through the center of
gravity
Homework Answers
Add Answer to:
The figure shown is formed by three pieces. The darkest piece
has a surface density of...
Figure 1 shows a basic model of an automobile, travelling over horizontal road. The car has...
Figure 1 shows a basic model of an automobile, travelling over horizontal road. The car has a mass M, and a mass moment of inertia Jo= Ma(measured with respect to the center of gravity (c.g)). The vertical displacement of the center of gravity is e(t), and the rotation is e(t) (measured with respect to the position of static equilibrium). The total stiffness at the front wheels is equal to ki and the total stiffness at the rear wheels is ke....
-Ja A Figure 2: A model of a tennis racket 5. A tennis racket is modeled as a uniform lamina of an areal density ρ...
-Ja A Figure 2: A model of a tennis racket 5. A tennis racket is modeled as a uniform lamina of an areal density ρ [kg m-2] that has a shape of an ellipse with the semi-major axis a and semi-minor axis b and a mass m 4Tbp with attached to it uniform rod of length 2a and mass m. The origin of the Cartesian system of coordinates Oryz is placed at the centre of the ellipse as shown in...
Please explain the higlighted values Example 5 The flywheel shown in Fig 121, has a rim...
Please explain the higlighted values
Example 5 The flywheel shown in Fig 121, has a rim with a 750 mm outside diameter and 100 mm square in section The hub is a hollow cylinder of 200 mm outside diameter, 1000 mm bore and 150 mm long The six arms, each of cross-section 30 cm", are to be considered as thin rods The wheel is made up of cast iron (density 7,2 x 10 kg/m) Calculate the moment of inertia and...
3. Magnetic Circuit The magnetic circuit shown in the figure is formed by two 'E' cores made of t...
Please explain your answer and clarify your steps
3. Magnetic Circuit The magnetic circuit shown in the figure is formed by two 'E' cores made of two different materials, with air gap g-0.5 mm. The relative permeability of each material is μre11 = 25 30 and 14-e12 = 1620 (consider air permeability equal to vacuum ,-4 T 10-7H/rn). - Calculate the total reluctance of the magnetic circuit. - Assuming the maximum flux density for both materials is Bmax 400 mT,...
A large-capacity faucet is to be connected to a water main by 20-mm-diameter copper tubing as shown in figure. The copper tubing has an estimate surface roughness of 0.003 mm, and local head loss...
A large-capacity faucet is to be connected to a water main by 20-mm-diameter copper tubing as shown in figure. The copper tubing has an estimate surface roughness of 0.003 mm, and local head losses are created by the corporation stop (C-stop), four bends, and the faucet itself. The faucet exi diameter of 12 mm. What minimum pressure in the water main is require obtain a desired flow rate of 50 L/min when the faucet is wide open? At 20°C, the...
3. (15 marks) As shown in the figure, a chamber has two pipe inlets (indicated using...
3. (15 marks) As shown in the figure, a chamber has two pipe inlets (indicated using 1 and 2) and a nozzle outlet (indicated using 3). Helium gas flows through the system, and can be treated as an ideal gas with constant specific heats. The pressure of the helium at the two inlets and outlet is P, = 10 MPa, P2-15 MPa and P3-8 MPa, and the corresponding velocity of the helium gas is V - 10 m/s, V,- 15...
What is the position of the center of mass of the part? 6 point (s) m...
What is the position of the center of mass of the part? 6 point (s) m 2D Moment of Inertia You are designing a part for a piece of machinery. The part consists of a piece of sheet metal cut as shown below. The shape of the upper edge of the part is given by y1(x), and the shape of the lower edge of the part is given by y2(x) You are correct. Your receipt no. is 158-2419 Now you...
Q1 20 points. Two tanks contain liquid filled to the same depth h as shown below Liquid A: Has a constant density p...
Q1 20 points. Two tanks contain liquid filled to the same depth h as shown below Liquid A: Has a constant density pAPo Liquid B: The density varies with position acording to the formula pn() where the coordinate z is shown in the figure. 0 is the bottom of each tank while z = h is the top of the liquid surface exposed to atmosphere. The : liquids are in hydrostatic equilibrium. Two tanks containing liquids with the same depth...
A car weighing 13 kN has an engine with performance characteristics as shown in Figure 1...
A car weighing 13 kN
has an engine with performance characteristics as shown in Figure 1
below. The car equipped with a 5-speed manual transmission system
with 90% efficiency, final drive gear ratio (final drive) is 3.0.
The equivalent weight of the rotating parts of driveline at 3500
rpm is 300 N with a radius of gyration of 10.1 cm. Each tyres is 66
cm in diameter with a radius of gyration of 25.2 cm and weighs
220.4 N. Each...
FAO Figure 1 2. A thin wire of length L has a uniform charge density +1.A...
FAO Figure 1 2. A thin wire of length L has a uniform charge density +1.A cylindrical Gaussian surface of radius d is drawn with the wire along its central axis, as shown above. Point P is located at the center of one end of the cylinder, a distance d from the end of the wire. Point Q is on the edge of the cylinder directly above the center of the wire, as shown above. A student says, "Gauss's law...
Figure 1 shows a basic model of an automobile, travelling over horizontal road. The car has a mass M, and a mass moment of inertia Jo= Ma(measured with respect to the center of gravity (c.g)). The vertical displacement of the center of gravity is e(t), and the rotation is e(t) (measured with respect to the position of static equilibrium). The total stiffness at the front wheels is equal to ki and the total stiffness at the rear wheels is ke....
-Ja A Figure 2: A model of a tennis racket 5. A tennis racket is modeled as a uniform lamina of an areal density ρ [kg m-2] that has a shape of an ellipse with the semi-major axis a and semi-minor axis b and a mass m 4Tbp with attached to it uniform rod of length 2a and mass m. The origin of the Cartesian system of coordinates Oryz is placed at the centre of the ellipse as shown in...
Please explain the higlighted values
Example 5 The flywheel shown in Fig 121, has a rim with a 750 mm outside diameter and 100 mm square in section The hub is a hollow cylinder of 200 mm outside diameter, 1000 mm bore and 150 mm long The six arms, each of cross-section 30 cm", are to be considered as thin rods The wheel is made up of cast iron (density 7,2 x 10 kg/m) Calculate the moment of inertia and...
Please explain your answer and clarify your steps
3. Magnetic Circuit The magnetic circuit shown in the figure is formed by two 'E' cores made of two different materials, with air gap g-0.5 mm. The relative permeability of each material is μre11 = 25 30 and 14-e12 = 1620 (consider air permeability equal to vacuum ,-4 T 10-7H/rn). - Calculate the total reluctance of the magnetic circuit. - Assuming the maximum flux density for both materials is Bmax 400 mT,...
A large-capacity faucet is to be connected to a water main by 20-mm-diameter copper tubing as shown in figure. The copper tubing has an estimate surface roughness of 0.003 mm, and local head losses are created by the corporation stop (C-stop), four bends, and the faucet itself. The faucet exi diameter of 12 mm. What minimum pressure in the water main is require obtain a desired flow rate of 50 L/min when the faucet is wide open? At 20°C, the...
3. (15 marks) As shown in the figure, a chamber has two pipe inlets (indicated using 1 and 2) and a nozzle outlet (indicated using 3). Helium gas flows through the system, and can be treated as an ideal gas with constant specific heats. The pressure of the helium at the two inlets and outlet is P, = 10 MPa, P2-15 MPa and P3-8 MPa, and the corresponding velocity of the helium gas is V - 10 m/s, V,- 15...
What is the position of the center of mass of the part? 6 point (s) m 2D Moment of Inertia You are designing a part for a piece of machinery. The part consists of a piece of sheet metal cut as shown below. The shape of the upper edge of the part is given by y1(x), and the shape of the lower edge of the part is given by y2(x) You are correct. Your receipt no. is 158-2419 Now you...
Q1 20 points. Two tanks contain liquid filled to the same depth h as shown below Liquid A: Has a constant density pAPo Liquid B: The density varies with position acording to the formula pn() where the coordinate z is shown in the figure. 0 is the bottom of each tank while z = h is the top of the liquid surface exposed to atmosphere. The : liquids are in hydrostatic equilibrium. Two tanks containing liquids with the same depth...
A car weighing 13 kN
has an engine with performance characteristics as shown in Figure 1
below. The car equipped with a 5-speed manual transmission system
with 90% efficiency, final drive gear ratio (final drive) is 3.0.
The equivalent weight of the rotating parts of driveline at 3500
rpm is 300 N with a radius of gyration of 10.1 cm. Each tyres is 66
cm in diameter with a radius of gyration of 25.2 cm and weighs
220.4 N. Each...
FAO Figure 1 2. A thin wire of length L has a uniform charge density +1.A cylindrical Gaussian surface of radius d is drawn with the wire along its central axis, as shown above. Point P is located at the center of one end of the cylinder, a distance d from the end of the wire. Point Q is on the edge of the cylinder directly above the center of the wire, as shown above. A student says, "Gauss's law...
Most questions answered within 3 hours.
-
Suppose that on a temperature scale X, water boils at 203.0°X
and freezes at -105.7°X. What...
asked 36 minutes ago -
BaS crystallizes in a cubic unit cell with S2- ions on each
corner and each face....
asked 1 hour ago -
A. 0≤P(Oi)≤10≤P(Oi)≤1 for each i
B. P(Oi)≤0P(Oi)≤0
C. P(Oi)=1+P(OCi)P(Oi)=1+P(OiC)
D. P(Oi)≥1P(Oi)≥1
If an experiment consists of...
asked 2 hours ago -
A battery has an emf of 9.20V and an internal resistance of 1.20
ohm. a)What resistance...
asked 2 hours ago -
The area of an elastic circular loop decreases at a constant
rate, dA/dt = −6.60×10−3 m2/s...
asked 3 hours ago -
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 5 hours ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 5 hours ago -
implement a program that reads a number of rows and a symbol.
The program will draw...
asked 5 hours ago -
Assume that when adults with smartphones are randomly selected,
45% use them in meetings or classes....
asked 5 hours ago -
Determine the number of formula units of
Na2SO4 and moles of oxygen contained in 8.11
moles...
asked 5 hours ago -
Explain in steps on the following code
What would be the output when executed
using System;...
asked 5 hours ago -
Given the information in the table, which of the following
statements is CORRECT?
Stock A
Stock...
asked 5 hours ago