In the design of a timing mechanism, the motion of pin P in the fixed circular slot is controlled by the guide A, which is being elevated byits lead screw. Guide A starts from rest with pin P at the lowest point in the circular slot, and accelerates upward at a constant rate untilit reaches a speed of 90 mm/s at the halfway point of its vertical displacement. The guide then decelerates at a constant rate andcomes to a stop with pin P at the uppermost point in the circular slot. Determine the n- and t-components of acceleration of pin Poncethe pin has traveled 25° around the slot from the starting position.Answers:an =22at =ii220 mmPmm/s²mm/s²

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In the design of a timing mechanism, the motion of pin P in the fixed circular slot is controlled by the guide A, which is being elevated its lead screw. Guide A starts from rest with pin P at the lowest point in the circular slot, and accelerates upward at a constant rate until it reaches a speed of 95 mm/s at the halfway point of its vertical displacement. The guide then decelerates at a constant rate and comes to a stop with pin P at the uppermost point in the circular slot. Determine the n- and t-components of acceleration of pin Ponce the pin has traveled 32° around the slot from the starting position. Answers: an = 25% a₂ = i i 285 mm P mm/s² mm/s²
11.7 The motion of a particle is defined by the relation x = - 6- 36t – 40, where x and t are expressed in feet and seconds, respec- tively. Determine (a) when the velocity is zero, (b) the velocity, the acceleration, and the total distance traveled when x = 0. 11.8 The motion of a particle is defined by the relation x = - 9 + 24t - 8, where r and t are expressed in inches and seconds, respectively. Determine (a) when the velocity is zero, (b) the posi- tion and the total distance traveled when the acceleration is zero. 11.9 The acceleration of a particle is defined by the relation a = -8 m/s. Knowing that x = 20 m when t = 4 s and that r = 4 m when v = 16 m/s, determine (a) the time when the velocity is zero, (b) the velocity and the total distance traveled when t = il s.
A biologist studying the motion of bacteria notes a bacterium at position r 1=2.2i + 3.7j − 1.2k μm (1μm = 10-6). After 7.2 seconds the bacterium is at r2 = 4.6i + 1.9k μm. Given that the acerage velocity is equal to 0.33i - 0.51j + 0.42k. Calculate the magnitude of the average velocity.
Light travels at a constant speed of 3.00 x 10^8 m/s, whereas sound travels through the air at a constant speed of 343 m/s A. How long does it take for light to travel from a lightning stroke to an observer 12.9 km away? B. For the observer, how long after the flash is seen is the thunder heard?
3 1 3 4 5 t (s) What is the particle's acceleration at t = 4.5 s? 1 m/s^2 -1 m/s^2 -2 m/s^2 3 m/s^2 O 2 m/s^2 (s/w) A
A particle performing linear S.H.M. has maximum displacement of 0.1 m. Its acceleration at a distance of 0.03 m from its mean position is 0.12 m/s². Determine its velocity at a distance of 0.06 m from its mean position.
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For the motion described by Fig. 15-25, find the displacement at (a) t=12.0 s; (b) t=13.0s s: (c) t=13.5s.
14- 12니 E 10 8. 6. 4 21 F 10 12 14 16 18 20 6. Time (hours) The total distance travelled is km. The net displacement is km. displacement at t=18 hrs is km The distance between points E and F is km. The displacement between points E and F is km Distance (km)
a.130.8 mb.142.3 mc.168.0 md.150.0 m
Please show how to derive this equation of constant acceleration: θ = θ0 + (ω + ω0) t/2

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