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A Scotch yoke is a
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Vector Mechanics For Engineers
- A Scotch yoke is a mechanism that transforms the circular motion of a crank into the reciprocating motion of a shaft (or vice versa). It has been used in a number of different internal combustion engines and in control valves. In the Scotch yoke shown, the acceleration of Point A is defined by the relation a=-1.5sin(kt) , where a and t are expressed in m/s2 and seconds, respectively, and k=3 rad/s. Knowing that x=0 and v=0.6 m/s when t =0, determine the position of Point A when t=0.5 s.arrow_forwardAngular Impulse and Momentum Principles To apply the principle of angular impulse and momentum to describe a particle's motion. The moment of a force about a point O, fixed in an inertial coordinate system, MO, and the angular momentum about the same point, HO, are related as follows: ∑MO=H˙O where H˙O is the time derivative of the angular momentum, HO=r×mv. Integrating this equation with respect to time yields the following equation: ∑∫t2t1MO dt=(HO)2−(HO)1 This equation is the principle of angular impulse and momentum, and it is often rearranged to its more familiar form (HO)1+∑∫t2t1MO dt=(HO)2 A centrifugal governor consists of a central rotating shaft that has two thin, pin-connected rods attached to it; a heavy sphere caps the end of each rod. (Figure 1) A centrifugal governor mechanically limits an engine's speed. A part of the engine turns the centrifugal governor, and if the speed exceeds a set amount, the height of the spheres decreases the driving force of the engine by…arrow_forwardFor items 4-5, consider the slider-crank mechanism shown. Crank AB is 0.500 m long. Rod BD is 1.500 m long. The velocity at point B is 0.500 m/s, ↖45.0°. Which of the following gives the closest value to the speed of the piston at D? Which of the following gives the closest values of the lengths of the sides of the triangle formed by points B and D and point C, the instantaneous center of rod BD?arrow_forward
- 33. (a) a (t) = a + Jt; v_(t) = v + a_+*; x(1) = x, + v + ļa t² + &ji°arrow_forwardA temperature sensor is attached to slider AB which moves back and forth through 60 in. The maximum velocities of the slider are 12 in./s to the right and 30 in./s to the left. When the slider is moving to the right, it accelerates and decelerates at a constant rate of 6 in./s2 ; when moving to the left, the slider accelerates and decelerates at a constant rate of 20 in./s2 . Determine the time required for the slider to complete a full cycle, and construct the v–t and x-t curves of its motion.arrow_forward3) Link AB of a robotic arm is rotating at a constant speed of 4 rad/s, while link BC is rotating at 5 rad/s, a speed that is increasing at the rate of 2 rad/s². Find the magnitudes of the velocity and acceleration of point C when AB is vertical and BC is horizontal, as shown here. 2.0 ft 1.5 ft B WAB A WBC = 5 rad/s αBC = 2 rad/s² = 4 rad/s Carrow_forward
- At a certain point in the reentry of the space shuttle into the earth's atmosphere, the total acceleration of the shuttle may be represented by two components. One component is the gravitational acceleration g = 9.56 m/s2 at this altitude. The second component equals 11.25 m/s² due to atmospheric resistance and is directed opposite to the velocity. The shuttle is at an altitude of 47.9 km and has reduced its orbital velocity of 28300 km/h to 14750 km/h in the direction = 1.88°. For this instant, calculate the radius of curvature of the path and the rate i at which the speed is changing. Answers: p= i = i FU km m/s²arrow_forwardA section through a single cylinder of an internal combustion engine is illustrated in the figure below. The crankshaft AB is rotating in the counter-clockwise direction at a constant value of 2000 revolutions per minute. For the instant shown determine using either a graphical or algebraic method, the velocity and acceleration of the piston. 5 сm 2 сmarrow_forwardAt a certain point in the reentry of the space shuttle into the earth's atmosphere, the total acceleration of the shuttle may be represented by two components. One component is the gravitational acceleration g = 9.57 m/s² at this altitude. The second component equals 11.47 m/s² due to atmospheric resistance and is directed opposite to the velocity. The shuttle is at an altitude of 48.1 km and has reduced its orbital velocity of 28300 km/h to 14030 km/h in the direction = 1.96º. For this instant, calculate the radius of curvature of the path and the rate i at which the speed is changing. Answers: p= i = i IN km m/s²arrow_forward
- The rotor of a gas turbine is rotating at a speed of 6900 rpm when the turbine is shut down. It is observed that 208 s is required for the rotor to coast to rest. Which of the following is the angular acceleration of the rotor assuming uniformly accelerated motion? * -3.01 rad/s2 -3.47 rad/s2 -16.56 rad/s2 O -28.75 rad/s2arrow_forwardPegs A and B are restricted to move in the elliptical slots due to the motion of the slotted link. (Figure 1) If the link moves with a constant speed of 10 m/s, determine the magnitude of the velocity of peg A when a = 0.8 m. Express your answer with the appropriate units. HA ? Value Units Submit Request Answer Part B Figure 1 of 1 Determine the magnitude of the acceleration of peg A when x = 0.8 m Express your answer with the appropriate units. HÀ ? a = Value Units v = 10 m/s Submit Request Answerarrow_forwardAt a certain point in the reentry of the space shuttle into the earth's atmosphere, the total acceleration of the shuttle may be represented by two components. One component is the gravitational acceleration g = 9.60 m/s2 at this altitude. The second component equals 10.28 m/s² due to atmospheric resistance and is directed opposite to the velocity. The shuttle is at an altitude of 46.1 km and has reduced its orbital velocity of 28300 km/h to 16920 km/h in the direction 0 = 1.78°. For this instant, calculate the radius of curvature of the path and the rate i at which the speed is changing. Answers: p= v = i i km m/s²arrow_forward
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