1. Find the central force necessary to make a parti- cle describe the lemniscate r2 = a² cos 20, where %3D a is a constant.

Q: 13. State whether each expression is meaningful. If not, explain why. If so, state whether it is a…

A: (a) "a.(b x c)" is meaningful and it is a scalar. It represents the dot product of two vectors "a"…

Q: 824 A man with superpowers files from the top of a building as shown in the figure ( 수지는 필요하다면 소수 자…

A: A man with superpowers flies from the top of a building as shown in the figure. (a) To find the…

Q: A rectangular lamina has vertices (0,0), (0, 2), (3,0), (3, 2) and density ry. Find (a) M, b) I, y,…

A:

Q: Calculate dS where S (3xy², xe², z³) and S is the surface of the solid bounded by the cylinder y? +…

A: From the given equation of cylinder, the projection of the cylinder on the yz-plane is a circle of…

Q: 6-21. Locate the centroid y of the area. 4 ft 1=1/2² 4 ft x

A: Concept: The Schematic diagram of the system is given below: Here in this diagram, we are…

Q: For any two vectors A and B, if A.B =0 then the angle between them is Zero aO degree 90.b O degree…

A: Given here for two vectors A and B if A→. B→ =0we are asked what is the angle between vector A and…

Q: 2) Given the Vector field: H=pz coup ap tesing ag tp'an At point (1,, 6) find: a) H• x b) H x de c)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1. Determine the angle e Ę Cin.degreces) that the force F makes with the postive Z axis. 2.…

A: Given Co-ordinates (x,y,z) Point A : (-1,-1,+3) meters

Q: Find the centroid of the solid bounded above by the paraboloid z = x? + y?, below by the plane z = 0…

A:

Q: Calculate the curl of the following vector function: v. = y?x + (2xy + z²)ŷ + 2yzz

A: Given vc = y2x^+2xy+z2y^+2yzz^ So the curl is ∇→×vc =…

Q: Calculate F. dS where F= (4r°z, 4y°z, 3z*) %3D and S is the surface of the solid bounded by the…

A: Given F→ = 4x3z , 4y3z ,3z4 z = 9-x2-y2   ,    z =4-x2-y2    and  z =0