Find the mass of a wire in the shape of a straight line from point (3,...
Find the mass of a wire in the shape of a straight line from point (3, −1) to point (4, 2) (in cm) if the density is given by density(x,y)=x2y (in g / cm ).
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Find the mass of a wire in the shape of a straight line from
point (3,...
Find the mass of a wire in the shape of a straight line from the point...
Find the mass of a wire in the shape of a straight line from the point (?3, −1?) to the point (?4,2)? (in cm) if the density is given by p(??x, y)=? ? x^2y (in g / cm).
Two more 86.1 g masses are connected by a straight piece of wire and affixed to...
Two more 86.1 g masses are connected by a straight piece of wire and affixed to the original configuration as shown. The coordinates of mass D are (0, -24.0) and the coordinates of mass E are (0, 24.0). Find the x- and y-coordinates of the new center of mass of the combined object. Icm = y Three 86.1 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn...
(1) Length of graphs a) Let a path C be given by the graph of y g(x), a 3 < b, with a piecewise C...
Please solve these three questions!
(1) Length of graphs a) Let a path C be given by the graph of y g(x), a 3 < b, with a piecewise C1 function g : [a, b - IR. Show that the path integral of a continuous function f: IR2- R over the path C is b) Let g : [a, b] - IR be a piecewise C1 function. The length of the graph of g on (t, g(t)). Show that [a,b]...
A long, straight wire carries a current of 1.7 A in the +z direction and lies...
A long, straight wire carries a current of 1.7 A in the +z direction and lies along the line x = +3.0 cm, y = 0. A second such wire carries a current of 1.7 A in the +z direction and lies along the line x = -3.0 cm, y = 0. Find (a) the magnetic field at a point P on the y axis at y = 6.0 cm (-9.1 x 10-6 T i) and (b) the force between...
A frictionless wire is bent into the shape of a cycloid curve, with coordinates given by...
A frictionless wire is bent into the shape of a cycloid curve,
with coordinates given by the parametric equations
? = ?(? + sin ?), ? = ?(1 − cos ?), for −? < ? < ?. The x
axis is horizontal, and y is vertically upwards. A bead of
mass m slides freely on the wire. Show that the distance s,
measured along the wire from the origin, is given by
? = 4? sin. Write out the potential...
this is all one question * Three 87.6 g masses are connected in a triangular shape...
this is all one question *
Three 87.6 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters, Mass A is located at (0,0), mass B is at (14.2 20.5), and mass is at (16.3, 15.4). Find the x- and y-coordinates of the center of mass of the triangular object. С cm om cm Two more 87.6...
Three 87.1 g masses are connected in a triangular shape by massless rigid wires as shown...
Three 87.1 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Mass A is located at (0,0), mass B is at (12.2, 20.5), and mass C is at (17.3, 13.4). Find the x-and y-coordinates of the center of mass of the triangular object. B с A Xcm cm Yem cm Two more 87.1 g masses are...
3) (1.25 point) Find the center of mass of the lamina that occupies the region with...
3) (1.25 point) Find the center of mass of the lamina that occupies the region with the given density function. R = {y = 0, y = x = 1,= 4}; 8(x,y) = kx?
(1 point) The motion of a solid object can be analyzed by thinking of the mass...
(1 point) The motion of a solid object can be analyzed by thinking of the mass as concentrated at a single point, the center of mass. If the object has density p(x, y, z) at the point (2, y, z) and occupies a region W, then the coordinates (@, y, z) of the center of mass are given by = NNW updv y= ST ypdV = .SIL apav, m Assume x, y, z are in cm. Let C be a...
A long, straight wire of radius a = 2.0 cm is located along the z-axis and...
A long, straight wire of radius a = 2.0 cm is located along the z-axis and carries a current I1 = 2.1 A in the negative 2-direction. A cylindrical conducting shell of inner radius b= 4.0 cm and outer radius c = 5.7 cm coaxial with the wire carries a uniformly distributed current 12 = 7.1 A in the positive z-direction as shown. Figure 1: (a) What are the r- and y-components of the magnetic field at point A located...
Two more 86.1 g masses are connected by a straight piece of wire and affixed to the original configuration as shown. The coordinates of mass D are (0, -24.0) and the coordinates of mass E are (0, 24.0). Find the x- and y-coordinates of the new center of mass of the combined object. Icm = y Three 86.1 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn...
Please solve these three questions!
(1) Length of graphs a) Let a path C be given by the graph of y g(x), a 3 < b, with a piecewise C1 function g : [a, b - IR. Show that the path integral of a continuous function f: IR2- R over the path C is b) Let g : [a, b] - IR be a piecewise C1 function. The length of the graph of g on (t, g(t)). Show that [a,b]...
A frictionless wire is bent into the shape of a cycloid curve,
with coordinates given by the parametric equations
? = ?(? + sin ?), ? = ?(1 − cos ?), for −? < ? < ?. The x
axis is horizontal, and y is vertically upwards. A bead of
mass m slides freely on the wire. Show that the distance s,
measured along the wire from the origin, is given by
? = 4? sin. Write out the potential...
this is all one question *
Three 87.6 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters, Mass A is located at (0,0), mass B is at (14.2 20.5), and mass is at (16.3, 15.4). Find the x- and y-coordinates of the center of mass of the triangular object. С cm om cm Two more 87.6...
Three 87.1 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Mass A is located at (0,0), mass B is at (12.2, 20.5), and mass C is at (17.3, 13.4). Find the x-and y-coordinates of the center of mass of the triangular object. B с A Xcm cm Yem cm Two more 87.1 g masses are...
3) (1.25 point) Find the center of mass of the lamina that occupies the region with the given density function. R = {y = 0, y = x = 1,= 4}; 8(x,y) = kx?
(1 point) The motion of a solid object can be analyzed by thinking of the mass as concentrated at a single point, the center of mass. If the object has density p(x, y, z) at the point (2, y, z) and occupies a region W, then the coordinates (@, y, z) of the center of mass are given by = NNW updv y= ST ypdV = .SIL apav, m Assume x, y, z are in cm. Let C be a...
A long, straight wire of radius a = 2.0 cm is located along the z-axis and carries a current I1 = 2.1 A in the negative 2-direction. A cylindrical conducting shell of inner radius b= 4.0 cm and outer radius c = 5.7 cm coaxial with the wire carries a uniformly distributed current 12 = 7.1 A in the positive z-direction as shown. Figure 1: (a) What are the r- and y-components of the magnetic field at point A located...
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