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Given:A rod with mass of 20 kg is rotating at 5 rad/s at the instant shown. A moment of 60 N·m is applied to the rod. Find: The angular acceleration αand the reaction at pin O when the rod is in the horizontal position. Plan: Since the mass center, G, moves in a circle of radius 1.5 m, it’s acceleration has a normal component toward O. Three forces F1, F2 and F3 act on a rod at distances r1, r2, and r3 from the pivoted end, as shown in fig. 11.24a. Find the torque due to each force about the pivot. Solution: We adapt the convention that a torque tending to produce a counterclockwise rotation is positive (right-hand rule). 20 11.6 Rotational Dynamics of a Rigid Body (Fixed.

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quantopian tutorial • 9 Problem 7 Given: A cylinder with an outer radius of R = 3 ft rolls without slipping on a horizontal surface. The center of the disk O has an acceleration that is known in terms of the position x of: ! a O= 3 2 x2 (x in feet and a O in ft/sec 2) At position 1 (x = 0), point O has a velocity of 1 ft/sec to the right.
• Show that if the center of mass is at a distance l from the vertex and m is the mass of the cone the above motion is only possible if . Determine the reaction at the support of the vertex . 38. A uniform heavy rod is held vertically by a pivot at its lower end and there is
• 3. A pendulum is made from a rigid rod of length L and mass M hanging from a frictionless pivot point, as shown below. The rod is released from a horizontal position. How does the (tangential) acceleration of the end of the rod at the moment of release compare to g? L 4. A wheel rotates with a constant angular acceleration α = 3.50rad/s2.
• 5. There are two forces on the 2 kg box in the overhead view of the figure below but only one is shown. The figure also shows the acceleration of the box. Find the second force (a) in unit-vector notation and as (b) magnitude and (c) direction. 33 180 33 213 32 20.78 32 21 38.27 tan ( 32ˆ 20.78ˆ) 20.78 12 20 32
• A particle, of mass 10 kg , is suspended from the end B of the rod. The rod is kept in a horizontal position by a light inextensible string BC, where C lies on the same wall vertically above A. In the figure, a 1.91 kg ball is connected by means of two massless strings, each of length L = 1.06 m, to a vertical, rotating rod.