Statics And Rotations

the slender bar of length l and mass m is pinned to verical shaft at O, the vertical shaft rotates with a cnstant angular velocity w0, please find the value of necessary for the bar to remain at a constant angular β relative to the verical

B AIn the figure shown above (problem 4) a force P intersects the X-axis at 4 ft to the right of O. If its moment about A is 180 ft-lb counterclockwise and its moment about B is 60 ft-lb clockwise, detemine its y-intercept.

‘or the given configuration minimum value of force ‘F* is applicd such that slipping start between B and C. Caleulate the aceeleration of block B for this condition and the value of F. A 10kg w E “'M‘L B 10kg — weol ¢ sky (@) 15m/5%, 250N ®)10m/s*,200N (©) Sm/st, 260N ()15 m/s*, 260N

If the length of the rod AB is 15 inches, and that a=25degrees, calculate the moment (Ib-in) about point B A Fa 20 lb 65° В If the moment produced at B is clockwise, answer in positive value, otherwise if it is counterclockwise, answer in negative value

The specialty wrench shown in the figure is designed for access to the hold-down bolt on certain automobile distributors. For the configuration shown, where the wrench lies in a vertical plane and a horizontal 160-N force F is applied at A perpendicular to the handle, calculate the moment Mo applied to the bolt at O. For what value of the distance d' would the z-component of Mo be zero? Assume a = 55 mm, d = 95 mm, h = 190 mm, 0 = 20° Answers Mo 1 d= i h i+ mm j+ k) N-m

Please don't provide handwritten solution.   Three identical full spheres of mass 3.1kg and Radius R=2.9m are welded together in such a way that the centres of each of them are at (R,0,0), (3R,0,0) and (5R,0,0). The whole system rotates in +XY plane about the axis parallel to z axis and passing through point (6R,0,0). Find the moment of inertia of the whole system. State your answer to the nearest tenth of kgm2.

Prove that moment of force is the rate of change of angular momentum. (ie) To Prove Ñ= d. dt'

The disk A is at the midpoint of the sloped surface in Fig. 1. The string from A to B exerts a 0.2-lb force F on the disk. Calculate the vector components normal to the sloped surface

A student is performing measurements with a hockey puck on a large merry go-roundwith a smooth horizontal ,flat surface .The merry-go-round has a constanr angularvelocity ? and rotate counterclockwise.Find the effective force on the hocky puck after it is given a push.   (b) plot the path for various intial directions and velocities of the puck as observed by the person on the merry-go round that pushes the puck.

y, mm +С (0, 25) В (40, 10) -— х, mm F = 50 N А (-15, -20)

Considering the disk with radius of r, constant rotational velocity of w, calculate the ratio between the velocity of point A respecting point C. Any method ассeptable. C A B

The thin, homogeneous, circular disk B rotates about a fixed, frictionless axis O, located at its centre, with an angular velocity of ω = 2.5 rad/s (clockwise). Object Alands on the disk at the indicated position where θ = 53o, with an absolute velocity of 1.8 m/s at an angle of ψ = 25o as shown.  Determine the angular speed of disk Bimmediately after object A has landed and rotates with B. Take the mass of the object as mA = 5 kg and the radius of gyration about an axis passing perpendicularly through its centre of gravity as kG = 0.18 m. The mass of disk B is mB = 14 kg and its radius is R = 1.7 m. Initially object A is a distance of r = 1.1 m from the axis of rotation. Choose the correct answer: a) 2.500 rad/s b) 1.737 rad/s c) 2.088 rad/s d) 2.252 rad/s e) 1.642 rad/s