The thin plate ABCD has mass 10kg and is held stationary in the position shown (= 30°) by a wire BH and the two massless parallel links AF and DE. At t = 0sec, the wire is cut and the plate is released from rest; it immediately moves in a pure translation motion due to the system's geometric constraint by the links. Find the forces in each link immediately after the wire is cut. All dimensions are in millimeters.

The thin plate ABCD has mass 10kg and is held stationary in the position shown (= 30°) by a wire BH and the two massless parallel links AF and DE. At t = 0sec, the wire is cut and the plate is released from rest; it immediately moves in a pure translation motion due to the system's geometric constraint by the links. Find the forces in each link immediately after the wire is cut. All dimensions are in millimeters.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Read my question properly and answer it! I want a solution that is solved with vectors(i,j,k) ! If you answer strangely, I'll dislike. If you don't know then skip
The robot arm is elevating and extending simultaneously. At a given instant, 0 = 34°,0 = 37 deg/s, 0 = 107 deg/s²,1 = 0.55 m, i = 0.37 m/s, and 7 = -0.36 m/s². Compute the radial and transverse forces F, and F that the arm must exert on the gripped part P, which has a mass of m = 20.8 kg. Compare with the case of static equilibrium in the same position. Assume d = 0.52 m. SASAARE Answers: Dynamic: Fr= Static: i i N, Fe= i N₁, Fe= i Z Z N N
A stepped cylinder has the dimensions R₁ = 0.30 m, R₂ = 0.65 m, and the radius of gyration, k, is 0.35 m. The mass of the stepped cylinder is 100 kg. Weights A and B are connected to the cylinder. If weight B has a mass of 80 kg, and weight A has a mass of 50 kg, how far does A move in 5 seconds? In which direction does it move? (Draw all FBDs)
H3
1. The rod below with a mass of m and total length of L is attached to the table via a pin connection. It is released from rest when it is horizontal. What is the moment of inertia of the rod about the pin, Io? b. What is the angular acceleration of the rod as a function of 0? What is the angular velocity of the rod as a function of 9? d. What is the reaction force at the pin (in vector form) as a function of 0? a. C. L/3 0 2L/3 Ө
-. Solid disc with radius R=5 cm and mass M-4,5 kg is hanging on the ceiling. There is a rope wound around the disc. The rope is conducted through an ideal travelling pulley, and the end of the rope is fastened to the ceiling. The mentioned pulley carries a block with mass m=1kg. Find (a) the vertical translational acceleration of the block, (b) K=? force in the rope, (c) F=? force, which holds the disc on the ceiling. K ´R M m
The figure shows the cross section of a uniform 239-lb ventilator door hinged about its upper horizontal edge at O. The door is controlled by the spring-loaded cable which passes over the small pulley at A. The spring has a stiffness of 16.6 lb per foot of stretch and is undeformed when 8-0. If the door is released from rest in the horizontal position, determine the maximum angular velocity reached by the door and the corresponding angle 0. Answer: @max 4.2¹ rad/sec at 8-i
Q. The upper and lower arms of Porter governor are 0.25 m each and are pivoted 30 mm from the axis of rotation. The radius of rotation Is 130 mm. The mass of the ball and sleeve are 3 kg and 38 kg respectively. Find the effort and power of the governor.
4. A loaded governor of the Porter type has equal arms and links each 250 mm long. The mass of each ball is 2 kg and the central mass is 12 kg. When the ball radius is 150 mm, the valve is fully open and when the radius is 185 mm, the valve is closed. Find the maximum speed and the range of speed. If the maximum speed is to be increased 20% by an addition of mass to the central load, find what additional mass is required. [Ans. 193 r.p.m.; 16 r.p.m.; 6.14 kg]
The strings AB and AC connect the 200 g ball to the vertical shaft, as shown in Fig. 2. The shaft rotates at a constant angular speed w and the ball travels in a horizontal circle with the strings inclined at a = 30° to the shaft. Given that the tension in string AC is 4 N. Draw a free body diagram of the forces on the ball. Calculate the radial acceleration of the ball. Find the value of the angular speed w. What is the tangential acceleration of the ball? Page 1 of 2 200-g A Fig. 2 /400 mm 400 mm
A2 Mg car has its mass with center at G. Calculate the acceleration of the car if u_k between the road and the wheels is 0.25. The wheel at point A are freely rotates and the driving wheels at point B are slipping. The mass of the wheels is small compared with the total mass of the car. 0.3m 1.25 0.75
A thin circular disk of radius R and mass M has an axle through it close to its outer edge. The disk is rotated through 90 deg and then allowed to drop. (The figure shows the disk in its initial position before it is released, and its final position when point P passes through the lowest point). a) If the zero of height is taken to be the location of the COM when the disk is in its final position, what is the energy of the disk before it is release? b) What is the moment of inertia of the disk about the axle? c) What is the angular speed of the disk when it is in the final position? d) What is the speed of point P, on the outer edge of the disk, as it passes through the lowest point in its swing?