Chapter 16, Problem 42P

The body is formed of slender rod and rotates about a fixed axis through point O. At time t = 0, the body is in the orientation 0 = 0 and has an angular velocity wo = 0.3 rad/s and a constant angular acceleration a = 0.8 rad/s². Determine the vectors of velocity and acceleration of point A at t = 1 s. Use d = 2r = 0.8 m. (√₁ = 0.106î + 1.240ŷ m/s, da -1.289 + 1.019ĵ m/s²) ω, α y = d x A

An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 30°, the velocity of point C is 14 m (upward to the left) and the angular acceleration of link CD is 45 rad in the CCW direction. Determine the x-component of the velocity vector of point G in m at this instant. Consider L 4 metres. E B y M.

The top rotates with a constant angular velocity of 40 rad/s about its axis which is inclined in the y-z plane at the angle θ = tan-1(3/4). Determine the vector expression in Cartesian form for the velocity and acceleration of point P, whose position vector at the instant is r = 15i + 16j -12k mm

The two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The acceleration of the block is aO = 5.2 m/s2. If θ˙θ˙ = 0 and θ¨θ¨ = 4.2 rad/s2 when θ = 0, find the magnitude of the acceleration of the tip A of the blade for this instant..

If the wheel in each case rolls on the circular surface without slipping, determine the acceleration of point C on the wheel momentarily in contact with the circular surface. The wheel has an angular velocity ω = 3.6 rad/s and an angular acceleration α = 5.0 rad/s2. The distances R = 1.5 m and r = 0.6 m.

= The disk has a circular slot with the radius equal to 200 mm, and it is in a pure rotation about O with a constant angular velocity, 15 rad/sec in the direction shown. When the slider A passes the center of the disk O, it has ė = 14 rad/sec and 6 = 0 relative to the disk, in terms of measured in the clockwise direction as shown in the figure. Calculate the magnitude of the acceleration of the slider A when it passes O, by using the body-fixed coordinate system given in the figure. Present your answer in m/sec² using 3 significant figures. A 0. 200 mm-

An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 45°, the magnitude of the velocity vector of point C is 14 m upward and to the left and the angular acceleration of link CD is 50 rad in the CCW direction. Determine the y-component of the acceleration vector of point G in m at this instant. Consider L = 6 metres. E y +. M

The disk starts at ω_0 = 2 rad/s when θ = 0, and is given an angular acceleration alpha = (0.3θ) rad/s^2, where θ is in radians. Determine tangential acceleration of a point A on the rim of the disk when θ = 1 rev.

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