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.

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?

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The torsional spring has a stiffness of 20 N-m/rad and is undeflected when the 3-kg uniform slender bar is in an upright position. If the bar is released from rest in the horizontal position shown, find its angular velocity as it passes the vertical position. Neglect friction effects. 4 Type here to search ThinkVision K - Pan Tab Cape Look Esc Q A Z G FT W S # ONDA 3 F2 E D A $ 4 R F 5 F4 T G XCVB 8 a Y H N P6 F6 U J M F7 K ( F8 F10 F11 +Backspace Enter T F12 Shift Print Screen SysRq Insert 0.5 m Scroll Lock Delete Home Break End Page Up Page Down Naam Lock K 37°F Cloudy Home Lenovo B 20

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The cylindrical peg has a mass m and is confined to move along the smooth horizontal slot due to the rotation of the lever arm. (The figure shows the system as seen from above.) The angular rotation of the lever arm is e(t), wheret is in seconds. Obtain the equations of motion for the peg. r(0)