5-6 The polar coordinates of the center of mass of an object are r = t2...
1) The polar coordinates of an object are r = 2t+4t m and O=t-trad. What are the radial and transverse components of the total external acceleration on the object at t=1s? A player kicks a ball with a speed of 80 m/s and at an angle of 30° (a) Determine X (horizontal distance) and Y (vertical distance) att 55 (b) Determine the maximum possible height of projective. (c) Determine horizontal distance that the ball.
[10 Marks] Find the polar coordinates (ro,ao) of the center of mass of lamina occupying the region and having the density o(r,0)-1. Solution: [10 Marks] Find the polar coordinates (ro,ao) of the center of mass of lamina occupying the region and having the density o(r,0)-1. Solution:
A 2.55-kg object is moving in a plane, with its x and y coordinates given by x = 6t2 − 2 and y = 2t3 + 6, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 1.95 s. N
A 3.10-kg object is moving in a plane, with its x and y coordinates given by x = 8t2 − 2 and y = 2t3 + 5, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 1.55 s.
Acceleration in polar coordinates is required 1. A particle of unit mass moves along a trajectory , 2r) θ E (03), and θ E ( a coal, -a cose r(8)--, expressed in plane polar coordinates. The angle 6(t) changes with time according to the equation θ wt. Here a, are positive constants independent of time. (a) [10 marks) Compute the transverse acceleration of the particle (b) [10 marks) Find the force acting on a particle and express it in terms...
#49,53,57 3- lar coordinates to polar coordinates will Polar Coordinates Convert blar coordinates with r> 0 and the ove describe of the the rectangular con 050<27. 37. (-1,1) be app 39. (V8, V8) 41. (3.4) 38. (3V3,-3) 40. (-V6, -V2) 42. (1,-2) 44. (0, -V3) your a (a) Yo (b) YO 43. (-6,0) Rectangular Equations to Polar Equations Convert the equation to polar form. 45. x = y *.47. y = x² 49. x = 4 46. x² + y2...
The rectangular coordinates of a point are given. Find the polar coordinates (r.) of this point with expressed in radians. Letr> 0 and 0 se<21. (6, -6√3) The polar coordinates are (Type an ordered pair. Type exact answers for each coordinate, using A as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) Enter your answer in the answer box. issie Type here to search of 9 FO F5 F6 ESC 8 + olen OO...
Find two other pairs of polar coordinates of the given polar coordinate, one with r> 0 and one with r< 0. Then plot the point. (a) (5, 5t/3) (r, θ) (r, θ) = (r>o) (r 0) (r < 0) (r 0) (r, θ) (r < 0) = Find two other pairs of polar coordinates of the given polar coordinate, one with r> 0 and one with ro) (r 0) (r
a. Find the center of mass for lamina defined by the interior of the polar curve r=sin(3) with a density that varies according to p(r,theta)=1/r b. Find the volume of the cylinder inside the sphere For part a I got a mass of 2 but not sure about the x bar and y bar calculations. For part b Im stuck on the z bounds for the integral when doing the problem with the cylindrical coordinate method. We were unable to...
1. a mass of 3 slugs (this is the English unit for mass, a pound is a force) is attached to a vertical spring with a spring constant of k = 9 lbs/ft. The string has a damping constant of beta = 6 lb * s/ft. The mass is pulled 1 ft below its equilibrium position and released. Determine the equation of motion for the mass. you may use any method you know to solve this problem. hint: y'(0) =...