The triangular plate rotates about a fixed axis through point O with the angular properties indicated. Determine the instantaneous velocity and acceleration of point A. Take all given variables to be positive.

B A ladder of length 17-ft that forms and angle of 50° with the horizontal. The point A on the ground, at this moment, has a velocity of 1 ft/s and an acceleration of 3 ft/s?. Determine the acceleration of the point B on contact with the wall.

The T shaped plate is rotating at a rate of w = 10 rad/s CCW (as shown) and deccelerating at a rate of a = -2.5 rad/s². The relevant dimensions of the plate are a = 3 in and b = 2 in. The plate is inclined at an angle = 15 deg at the instant shown. 1. What are the inertial velocity and acceleration vectors of points P and Q in terms of the unit vectors 6₁ and 6₂? 2. Which point has a greater velocity magnitude? acceleration magnitude? 3. How much of the acceleration is due to the Coriolis effect? 4. How many revolutions will the plate complete before reaching zero angular velocity? iz a b₂ 9 ......... b Q a

The disk in Figure, rotates about a fixed axis throughO with angular velocity ω =5 rad/sec and angularacceleration α = 3 rad/sec2in the directions shown at acertain instant. The small sphere A moves in the circularslot, and at the same instant, β = 30°, ?̇ = 2rad/sec, and?̈ = - 4 rad/sec2. Determine the absolute velocity andacceleration of A at this instant.

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 10 m and the angular acceleration of link CD is 35 rad in the CCW direction. Determine the y-component of the acceleration vector of point C in m at this instant. Consider L 6 metres. E AO

draw velocity vectors for point O and C. Find the instantaneous center of the spool

C16-4. If the tires do not slip on the pavement, determine the points on the tire that have a maximum and minimum speed and the points that have a maximum and minimum acceleration. Use appropriate numerical values for the car's speed and tire size to explain your result.

If the disk rolls without slipping on the horizontal surface, find the acceleration of point A.

The disk has an angular velocity of 8 rad/s and is increasing at the rate of 5 rad/s' about its Z- axis and the yoke AB has a constant angular velocity w = 3 rad/s about its shaft as shown. Simultaneously the entire assembly revolves about the fixed X-axis with constant velocity o, = 5 rad/s. Determine the velocity and acceleration of point F on the disc for an instant shown in the figure. Also find angular velocity and angular acceleration of the disc. 20 cm 15. 30 cm 30 cm 30 cm N 20 cm

25,15mm and 14mm/s are the data's. Urgent solution required.