The disk in Figure, rotates about a fixed axis through O with angular velocity ω =5 rad/sec and angular acceleration α = 3 rad/sec2 in the directions shown at a certain instant. The small sphere A moves in the circular slot, and at the same instant, β = 30°, ?̇ = 2rad/sec, and ?̈ = - 4 rad/sec2 . Determine the absolute velocity and acceleration of A at this instant.

Q: The bar AB shown has an angular velocity ωAB known as shown in the figure. Use the instantaneous…

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Q: The disk rotates about the shaft S, while the shaft is turning about the z axis at a rate of w₂ = 6…

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Q: The disk with radius r = 0.2 m (figure below) starts from rest and receives an angular acceleration…

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Q: In the mechanism illustrated below, the disk rolls without slip at constant angular velocity w = 10…

A: ω=10 rad/s R=0.5ft   The Roller Slide in the ← in condition of no slip

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A: Point F is the correct answer.

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Q: A bar rotates about fixed axis O. Find the magnitude of the acceleration of point A. x = 36 rad/s² .…

A: A bar rotates about fixed axis O. Find the magnitude of the acceleration of point A.

Q: The z-y coordinate system is body fixed with respect to the bar. The angle 0 (in radians) is given…

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Q: 3. The bar shown rotates about the z-axis. Find the velocity and accleration of point P for the…

A: Given: Angular acceleration of the bar: →α=4 rad/s2       (clockwise) Angular velocity of the bar:…

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Q: 5/20 Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has…

A: To find: The velocity and acceleration of the point A. Given: The angular velocity of disc is ω0=0.1…

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Q: 04: The magnitude of the absolute velocity of point A on the automobile tire is 12 m/s when A is in…

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Q: below, what is the rotation of rod AB about point A if piston b moves to the right? Moreover, what…

A: vB=7.5m/saB=18.75m/s2 To-Find:- Angular-Acceleration=?

Q: The figure below represents a pair of bevel gears A and B. Gear A rotates in a horizontal plane…

A: The gear A is stationaryThe angular velocity of OC is

Q: At the instant shown below, point O has got a velocity of -5,9i-0.5j m/s while the bat is rotating…

A: Given: The velocity of point O, V=-5.9i-0.5j Angular velocity of the bat; ω=4.3 rad/s ccw about the…

Q: Vb=? Vc=? Wbc=?

A: For solution refer below images.

Q: 6. In the linkage below, the angular velocity of link 2 is 100 rad/s CCW. The linkage dimensions are…

A: The Answer is Below

Q: Disk A rotates around the vertical z-axis with a constant angular velocity ω = dθ/dt = π/3 rad/s. At…

A: Step 1:To calculate the magnitude of the total acceleration vector a of point P at t=0.5 seconds, we…

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Q: A circular body rotates according to the equation (S = 2 t4 – 4), Find the radius of the body to…

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Q: A wheel rolls on a circular surface without slipping. In the bottom position, it has an angular…

A: The wheels roll on the circular surface without slipping. The angular velocity of the wheel is ω…

Q: he figure below represents a pair of bevel gears A and B. Gear A rotates in a horizontal plane about…

A: The gear A is stationaryThe angular velocity of OC is

Q: The crank AB of the mechanism below rotates at 20 rad/s in the direction shown in the figure below.…

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Q: Member AB is rotating at a constant speed of 4 rad/sec as shown. Find the angular velocity of bar BC…

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Q: The square plate rotates about the fixed pivot O as shown in Figure 2. At the instance represented,…

A: Givenω=8k^rad/sangular acceleration α=5k^rad/s2

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Q: Rod OA rotates counterclockwise with a constant angular velocity of 8 = 5 rad/s. The double collar B…

A: Given data: angular velocity of rod OA is θ˙=5 rad/sr=1.5(2-cosθ)ftθ=140°collar weight  0.60 Lb

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.