A rectangular lamina has vertices (0,0), (0,2), (3,0), (3,2) and density σ = xy (in kg/m2)....

A rectangular lamina has vertices (0,0), (0,2), (3,0), (3,2) and density σ = xy (in kg/m²). Find a) the mass M of the lamina b) x_CM and c) y_CM. (Answers: a) M = 9 kg, b) x_CM = 2 m, c) y_CM = 4/3 m)

Expert Solution

genius_generous answered 3 months ago

Triangle ABC has vertices A(0,0), B(0,4), and C(3,0). Write the equation for the line containing altitude...

Triangle ABC has vertices A(0,0), B(0,4), and C(3,0). Write the equation for the line containing altitude AR in standard form.

Consider the function f(x,y) = e^xy and closed triangular region D with vertices (2,0), (0,2) an...

Consider the function f(x,y) = e^xy and closed triangular region D with vertices (2,0), (0,2) an (0,-2). Find the absolute maximum and minimum values of f on this region. Need an explanation pls

An infinite nonconducting sheet has a surface charge density σ = 8.00 pC/m2. (a) How much...

An infinite nonconducting sheet has a surface charge density σ = 8.00 pC/m2. (a) How much work is done by the electric field due to the sheet if a particle of charge q = +1.60 ✕ 10−19 C is moved from the sheet to a point P at distance d = 3.52 cm from the sheet? (b) If the electric potential V is defined to be zero on the sheet, what is V at P?

A rectangular oonaete cbBlIDCI (II - 0.01S) is 3,0 m (9.84 ft) ... ide,has II longitudinal...

A rectangular oonaete cbBlIDCI (II - 0.01S) is 3,0 m (9.84 ft) ... ide,has II longitudinal slope 0( 0.001, and a di9Ctlarge rate of 5.0 am (176 e&). If the channel ends in a free outfall.. compute the water surface profile for I distance of ISO m (500 tt) upstream of the Qutfall.

The density of osmium (the densest metal) is 22.57 g/cm3. If a 1.00-kg rectangular block of...

The density of osmium (the densest metal) is 22.57 g/cm3. If a 1.00-kg rectangular block of osmium has two dimensions of 4.00 cm x 4.00 cm, calculate the third dimension (in cm) of the block. Watch significant figures.

triangle POR has vertices P(0,12), R(5,0) and O(0,0).there exists a line l cutting PR and OP...

triangle POR has vertices P(0,12), R(5,0) and O(0,0).there exists a line l cutting PR and OP at A and B respectively, such that circles can be inscribed in triangle PAB and quadrilateral RAB. Also, these circles are tangent to line l at the same point.if line l passes through (0,8), then the area of quadrilateral AB is A, find A.

A 3.61 kg particle has the xy coordinates (-1.06 m, 0.516 m), and a 3.39 kg...

A 3.61 kg particle has the xy coordinates (-1.06 m, 0.516 m), and a 3.39 kg particle has the xy coordinates (0.820 m, -0.0640 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you place a 2.60 kg particle such that the center of mass of the three-particle system has the coordinates (-0.672 m, -0.106 m)?

The propeller of a plane has a rotational inertia of 890 kg*m2. Each blade has a...

The propeller of a plane has a rotational inertia of 890 kg*m2. Each blade has a length of 3.3 m. The propellor starts from rest and reaches a final angular speed of 16 rad/s in only 8 seconds. a) What was the angular acceleration of the propeller? b) What was the net torque exerted on the propeller while it was accelerating? c) When t = 4 s, what was ω for the propeller? d) When t = 4 s, through...

A spherical shell of radius a has a uniform surface charge density σ and rotates with...

A spherical shell of radius a has a uniform surface charge density σ and rotates with a constant angular velocity ω in relation to an axis that passes through its center. In this situation, determine the magnetic dipole moment μ of the spherical shell.

A disk of radius 2.6 cm has a surface charge density of 6.0 µC/m2 on its...

A disk of radius 2.6 cm has a surface charge density of 6.0 µC/m2 on its upper face. What is the magnitude of the electric field produced by the disk at a point on its central axis at distance z = 18 cm from the disk?

Question