r dm mi | d— dr L- In the figure, a particle of mass m₁ is a distance d from one end of a uniform rod of length L and mass M. What is the magnitude of the gravitational force on the particle from the rod? NOTE: Give your answer in terms of the variables given and G. F ==
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- Let us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are r, u, and t, respectively. Consider the quantity (3u2t). (i) Is the magnitude of this vector (a) 6, (b) 3, (c) 2, or (d) 0? (ii) Is the direction of this vector (a) down, (b) toward you, (c) up, (d) away from you, or (e) left?between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle to become a new coordinate system S’, as shown in the following figure. A point in a plane has coordinates (x,y)in S and coordinates (x,y) in S’. (a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations: {x=xcos+ysiny=xsin+ycos (b) Show that the distance of point Pto the origin is invariant under rotations of the coordinate system. Here, you have to show that x2+y2=x2+y2. (c) Show that the distance between points Pand Q is invariant under rotations of the coordinate system. Here, you have to show that ( xP =xQ )2+( yP yQ )2=( xP =xQ )2+( yP yQ )2 .At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?
- In (Figure 1), l = 4 m and n = 4.5 m. Figure 11 B 8 F=600 N 3 m 1 of 1 Part A Determine the angle between the force and the line AB. Express your answer in degrees to three significant figures. 17 ΑΣΦ 0 = Submit Provide Feedback Request Answer vec ?The Sun subtends an angle of about 0.5 ∘∘ to us on Earth, 150 million km away. Part A Estimate the radius of the Sun. Express your answer to one significant figure and include the appropriate units.Which are possible errors in Visual Python? Select one: O Syntax and Math (Logic) O Systematic and Math (Logic) O Syntax and Random O Random and Math (Logic) To define an angle of 25 degrees in radians using Visual Python, it is needed to be written: Select one: O 25/pi*180 O 25pi/180 25/pi/180 O 25*pi/180 Visual python display window coordinates are formed with (x.y.z) where y represents Select one: O in/out of the display window O None of the choices fits O horizontal axis O vertical axis
- 1. Determine the angle e Cin degres) that the force Ê makes with the pestive Z axis. 2. Determine the unit vector Kp which acts in the direction of the Force F.Use Stokes' theorem to evaluate SF. dr where F = z²î + y²ĵ + xk and C is the triangle with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1). The unit vector normal is upward. Z -3 2 2 XCurrent Attempt in Progress Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass ma. Particle B, at xyz coordinates (2.00d, 2.00d, 2.00d), has mass 4.00ma, and particle C, at coordinates (-3.00d, 2.00d, -3.00d), has mass 4.00mA. A fourth particle D, with mass 3.00ma, is to be placed near the other particles. If distance d = 4.20 m, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero? %3D (a) Number i Units (b) Number Units (c) Number Units > >
- Use the law of sines and the law of cosines, in conjunction with sketches of the force triangles, to solve the following problems. Determine the magnitude of the resultant R and the angle e between the x-axis and the line of action of the resultant for the following: 90 lb 110 IbDD =25i need help to do it correctly the solution answered is available and even the answers for 25th in table i just need explanationhow to do it? please thank you! M person 80 kg safe m ladder 30 kg caution unsafe L/3 mass fraction 0.37878788 L mass fraction 0.86363636 Nfloor 1078 N Nwall max 270 N available Ff max 270 N available L/3 way up the ladder top of ladder DOB Theta deg radians Tan theta Cot theta mu required Ff required mu required Ff reqd 25 80 1.3962634 6 0.17632698 0.0668 72.0 0.1523 164.2Consider tha frame shown. There is a pulley at E, a smooth slot at C, a pin at B, and a fixed support at A. a) Determine the x and y components of force at B using scalar notation. b) Determine the magnitude of the normal force the pin at C exerts on the smooth slot. c) Determine the x and y components of reaction of force at A using scalar notation. d) Determine the moment of reaction at A.