Question

In: Civil Engineering

A quarter circle of radius 100 mm lies on Quadrant II of a coordinate plane with...

A quarter circle of radius 100 mm lies on Quadrant II of a coordinate plane with
reference radius at the origin. A rectangle is attached to the quarter circle at Quadrant I
with base at the x-axis of width equal to 25 mm and height same as the radius of the
quarter circle. Another rectangle with inverse dimension as the previous is attached to the
quarter circle at Quadrant III.
a. What is the moment of inertia (m4) of the composite area with respect to the x-axis at point O?
b. What is the moment of inertia (m4) of the composite area with respect to the y-axis at point O?
c. What is the polar moment of inertia (m4) of the composite area?
d. What is the centroidal moment of inertia (m4) of the composite area?
e. What is the radius of gyration (mm) of the composite area with respect to its
centroid?

Solutions

Expert Solution

Ally Wells answered 4 weeks ago
Next > < Previous

Related Solutions

A quarter circle of radius 227 mm lies on Quadrant II of a coordinate plane with...
A quarter circle of radius 227 mm lies on Quadrant II of a coordinate plane with reference radius at the origin. A rectangle is attached to the quarter circle at Quadrant I with base at the x-axis of width equal to 45.6 mm and height same as the radius of the quarter circle. Another rectangle with inverse dimension as the previous is attached to the quarter circle at Quadrant III. a. What is the moment of inertia (m4) of the...
Acircular ring of radius ?lies in the ??plane and is centered on the origin. The half...
Acircular ring of radius ?lies in the ??plane and is centered on the origin. The half on the positive ?side is uniformly charged with a charge +?while the half on the negative ?side is uniformly charged with a total charge −?. a..Draw a diagram of the charge distribution and without doing any math, determinethe direction of the total electric field at the origin . b.Calculate the ?component of the electric field at the origin by integrating the charged ring. i.Draw...
A circle with a radius of 0.3 meters is placed in the x-y plane in a...
A circle with a radius of 0.3 meters is placed in the x-y plane in a magnetic field directed in the -z direction. It is wound once and its resistance is 8 Ohms. The initial magnetic field is 0.5 Tesla. The magnetic field is then changed in 0.7 s and the average induced current is 0.05 amps running counter-clockwise. First, find the final magnetic field to needed to induce this average current. Then, the magnetic field (still in the -z...
A circular area with a radius of 6.60 cmcm lies in the xx-yy plane. A) What...
A circular area with a radius of 6.60 cmcm lies in the xx-yy plane. A) What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field BB = 0.211 TT that points in the +z+z direction? Express your answer in webers. B) What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field BB = 0.211 TT that points at an angle of 52.7 ∘∘ from the +z+z...
1) A circle with a radius of 0.3 meters is placed in the x-y plane in...
1) A circle with a radius of 0.3 meters is placed in the x-y plane in a magnetic field directed in the -z direction. It is wound once and its resistance is 6 Ohms. The initial magnetic field is 0.8 Tesla. The magnetic field is then changed in 0.6 s and the average induced current is 0.04 amps running counter-clockwise. First, find the final magnetic field to needed to induce this average current. Then, the magnetic field (still in the...
1) A circle with a radius of 0.3 meters is placed in the x-y plane in...
1) A circle with a radius of 0.3 meters is placed in the x-y plane in a magnetic field directed in the -z direction. It is wound once and its resistance is 7 Ohms. The initial magnetic field is 0.6 Tesla. The magnetic field is then changed in 0.7 s and the average induced current is 0.05 amps running counter-clockwise. First, find the final magnetic field to needed to induce this average current. Then, the magnetic field (still in the...
A four-turn circular wire coil of radius 0.550 m lies in a plane perpendicular to a...
A four-turn circular wire coil of radius 0.550 m lies in a plane perpendicular to a uniform magnetic field of magnitude 0.355 T. If the wire is reshaped from a four-turn circle to a two-turn circle in 0.128 s (while remaining in the same plane), what is the average induced emf in the wire during this time?
Consider a wire of uniform density and mass M shaped into a quarter circle of radius...
Consider a wire of uniform density and mass M shaped into a quarter circle of radius R.The wire is located in the xy plane, with the origin at the focus of the quarter circle (i.e at the center of the circle of which the wire is part). Choose the x axis parallel to the line that connects the endpoints of the wire, so that the y-z plane is a plane of reflection symmetry for the wire. This means that the...
Find a path that traces the circle in the plane y=0 with radius r=2 and center...
Find a path that traces the circle in the plane y=0 with radius r=2 and center (2,0,−2) with constant speed 12. r1(s)=〈 , , 〉 Find a vector function that represents the curve of intersection of the paraboloid z=7x^2+5y^2 and the cylinder y=6x^2. Use the variable t for the parameter. r(t)=〈t, , 〉 Need help with Calculus III
Let C be the boundary of the quarter circle with radius 1, oriented counterclockwise (Figure 1)....
Let C be the boundary of the quarter circle with radius 1, oriented counterclockwise (Figure 1). Evaluate H C(ex + y2) dx + (ey + x2) dy
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT