The 10 kg uniform slender bar is pinned at A to the collar, which has an upward acceleration a = 4 m/s along the vertical shaft. If the bar has an angular velocity ω = 3 rad/s as it swings past the horizontal position, determine the magnitude of the reaction at A for this instant.Ans: 43.8 N
Q-4 (25 pts A uniform bar of length (L), cross sectional area (A) and mass (m) is free to rotate about a frictionless hinge at "O" in a horizontal plane. At the instant shown its angular velocity is (w) rad/sec clockwise and the applied torque (T) is clockwise. For the instant determine: a) The reactions at the hinge "O b) The internal forces (Shear force V, axial force F) in the middle of the bar (xeL/2 from hinge "O") Hint:...
A 10 kg bar shown is currently moving with a center of mass velocity of 1 m/s to the right. What is the angular velocity of the bar at this instant in rad/s? QUESTION 1 A 10 kg bar shown is currently moving with a center of mass velocity of 1 m/s to the right. What is the angular velocity of the bar at this instant in rad's? (gravity is acting in the vertical plane) 0.75 m V = 1...
Please include all steps/formulas and Diagrams (Fbds) The 20-kg square plate is pinned to the 5-kg smooth collar. Determine the initial angular acceleration of the plate when P = 100 N is applied to the collar. The plate is originally at rest. (Answer: 35.4 rad/s?) P-100 N 300 mm 300 mm
Chapter 6, Problem 6/098 The assembly consisting of a uniform slender bar (mass 2.1 kg and L0.45 m) and a rigidly attached uniform disk (mass 6.1 kg) is freely pinned to point O on the collar that in turn slides on the fixed horizontal guide. The assembly is at rest when the collar is given a sudden acceleration a 4.6 m/s2 to the left as shown. Determine the initial angular acceleration a of the assembly. The angular acceleration is positive...
The 6.0-lb bar is pinned at its center O and connected to a torsional spring. The spring has a stiffness k = 5.6 lb?ft/rad , so that the torque developed is M=(5.6?)lb?ft, where ? is in radians. If the bar is released from rest when it is vertical at ?=90?, determine its angular velocity at the instant ?=45?.
The uniform bar shown in the diagram has a length of 0.80 m. The bar begins to rotate from rest in the horizontal plane about the axis passing through its left end. What will be the magnitude of the angular momentum L of the bar 6.0 s after the motion has begun? The forces acting on the bar are shown. Express your answer in kg*m2/s
The 12-kg slender rod is pinned to a small roller A that slides freely along the slot. The rod is released from rest at 0 20° A 0.6 m (a) The angular acceleration of the rod immediately after the release. (b) The acceleration of the center of mass immediately after the release. (c) The acceleration of the roller immediately after the release. (d) The normal force on the roller exerted by the slot immediately after the release The 12-kg slender...
A slender bar of length / is pinned to the L-shaped bar at O. The L-shaped bar rotates about the vertical axis with a constant angular velocity ω。. Find the acceleration of the mass center of the slender bar for a constant angle β relative to the vertical Indicate your solution in the coordinate system aligned with the bar. #1. a0db
4. In the figure shown, rod AB (M-2 kg, L-2 m, center of mass C located 1 m above ground) is kept on a rough surface (H-0.5). A horizontal force F = 10 N is applied to the rod at point D, and distance CD-L/3 m. This horizontal force F causes the rod to rotate about B. Find initial linear acceleration of the top-most point A of the rod. Figure inset shows moment of inertia of a rod. Ignore air...