6. A horizontal rod rotates about a vertical rod with a constant angular velocity 0, as...
Rod OA rotates counterclockwise with a constant angular velocity of θ = 5 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other slides over the horizontal curved rod, of which the shape is described by the equation r = 1.5(2-cosθ)ft. (Figure 1) Part AIf both collars weigh 0.80 lb, determine the magnitude of the normal force which the curved rod exerts on one collar at the instant θ = 135°....
12 of 11 > Rod AB rotates counterclockwise with a constant angular velocity w 3 rad/s. The collar consists of two pin-connected slider blocks which are constrained to move along the circular path and the red AB. Suppose that r=0.2 m (Figure 1) Review Determine the r and y components of the velocity of point located on the double collar when Express your answers using three significant figures separated by a comma : 15wing scale notation oe? 10 AED! vec...
Equations of Motion: Cylindrical Coordinates Learning Goal: To set up and analyze equations of motion in a cylindrical coordinate system. The mechanism shown in the figure below rotates about the vertical axis. The collar has mass m=3.05 kg. The spring has an unstretched length of 310 mm and the spring constant is k=160 N/m. The distance d=200 mm , and the collar is required to stay a fixed distance r=480 mm from the vertical axis. (Figure 1) Part A -...
3-5 The collar A, having a mass of my, is attached to a spring having a stiffness of k. When rod BC rotates about the vertical axis, the collar slides outward along the smooth rod DE. If the spring is unstretched when S = 0 A) Determine the parametric equation for the constant speed of the collar in order that s = Sr. Also, what is the normal force of the rod on the collar in terms of the unknown...
A slender 9 lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k-30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. The rod is released from rest in the position shown. 1) Determine its angular velocity after the rod has rotated through 45.(1 point) 2) Determine the reaction force at pivot point B after the rod rotated through 45. (1 point) 24 in 5 in. 4...
13.C1 A 12-lb collar is attached to a spring anchored at point C and can slide on a frictionless rod forming an angle of 30° with the vertical. The spring is of constant k and is unstretched when the collar is at A. Knowing that the collar is released from rest at A, use computational software to determine the velocity of the collar at point B for values of k from 0.1 to 2.0 lb/in 20 in. 20 in. 30...
Part A The collar A, having a mass of 0.75 kg is attached to a spring having a stiffness of k = 300 N/m. When rod BC rotates about the vertical axis, the collar slides outward along the smooth rod DE The spring is unstretched when s 0. Neglect the size of the collar. (Figure 1) Determine the constant speed of the collar in order that s 100 mm, Express your answer to three significant figures and include the appropriate...
Collar C is attached to the rod AB by a double collar and translates along the circular rod as shown in the figure below. The rod AB rotates counterclockwise with constant angular rate 6 of 3 rad/s. Point A on rod AB is pinned to the circular rod. The circular rod has a radius r of 0.5 m. Determine the velocity and acceleration of the collar C when 8 is 45 degrees. Express your final answers in the inertial reference...
Rod OB, of length 1, rotates about with a constant absolute angular velocity of . At the same time, rod BA, of length 12, rotates about B with a constant angular velocity of or relative to rod OB. At the instant shown, determine (note: all answers must be expressed by the unit vectors i and j): (a) The absolute angular velocity of the rod BA (5 pts). (b) The position vector from point B to point A expressed by i...
PROBLEM: The rod OA in Fig. 12–33a rotates in the horizontal plane such that 0 = (rº) rad. At the same time, the collar B is sliding outward along OA so that r = (1001) mm. If in both cases t is in seconds, determine the velocity and acceleration of the collar when 1 = 1 s. SOLUTION Coordinate System. Since time-parametric equations of the path are given, it is not necessary to relate r to 0. Velocity and Acceleration....