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Telemetry technology is used to quantify kinematic values of a 200-kg roller-coaster cart as it passes overhead. According to the system,
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Vector Mechanics For Engineers
- A particle, originally at rest and located at point (3 ft, 2 ft, 5 ft), is subjected to an acceleration a={6ti+12t2k}ft/s2 .arrow_forwardSpecifically a dynamics problem: A particle, originally at rest and located at point (3 ft, 2 ft, 5 ft), is subjugated to an acceleration of a = {6ti =12t2k} ft/s2. Determine the particle's position (x, y, z) at t = 1 s.arrow_forwardWhen a valve is opened, a certain fluid flows through the choke duct or valve (see figure), according to the relationship: V= V (1 + x/L) i Determine a) If the flow is stationary or transient. b) The acceleration (ax) of the fluid applying Euler's approach. c) The position of the particle as a function of time at x = 0 and t = 0. d) Determine the acceleration of the particle as a function of time.arrow_forward
- The horizontal motion of the plunger and shaft is arrested by the resistance of the attached disk which moves through the oil bath. The velocity of the plunger is v0 = 3.1 m/s in the position A where x = 0 and t = 0, and the deceleration is proportional to v so that a = -kv where k = 0.32 s-1. Find (a) the velocity when t = 2.9 s, (b) the position x when t = 2.9 s, (c) the velocity when x = 4.2 m.arrow_forwardThe normal acceleration of a particle on the rim of a pulley10 ft in diameter is constant at 8000 ft/s2. Determine thespeed of the pulley in revolutions per minute (rpm). plss include the free body diagram ty..arrow_forwardThe airplane above now moves due east while the alien pilot points the plane somewhat south of east, toward a steady wind that blows to the northeast. The plane Phas velocity ⃗vP W relative to the wind W , with an airspeed (speed relative to the wind) of 215 km/h, directed at angle θ south of east. The wind has velocity ⃗vWG relative to the ground G with speed 65.0 km/h, directed 20.0◦ east of north. What is the magnitude of the velocity ⃗vP G of the plane relative to the ground, and what is θ?arrow_forward
- A particle moves in a circle with a diameter of 120 cm. If its linear velocity is given by v = 4.5t where v is in mps and t is in s, find the radial, tangential and the resultant acceleration of the particle.arrow_forward1. In this type of motion, the acceleration “a” of the particle is zero for every value of “t”.2. When a particle P is moving to a position P’ with their corresponding change in radius of curvature and change in the arc length respectively with respect to the origin, the motion is simply define as?3. This component of the particle was shown to be equal to the time derivative of the position coordinate x.arrow_forwardIf a ball is dropped from a height of 5 feet, determine velocity of the ball just before impact with the ground. Let positive y be upward, so the ball will have negative velocity. Provide your answer in ft/sec, but do not include units in your submittal.arrow_forward
- Dynamic Question 11.81 Upon entering a curve of a 200 m radius at a speed of 72 km/h, a motorist applies his brakes to decrease his speed at a constant 2 m/s^2. Determine the magnitude of the total acceleration of the car when its speed is 54 km/h.arrow_forwardPulleys and ropes are massless and frictionless. The coefficient of static friction between the mass m2 and the surface is µ(s) and the coefficient of kinetic friction is µ(k). The velocity of the mass m2 is V2 and the acceleration is a2. Give your answer in terms of (Ɵ, m1, m2, g, µ(s), µ(k) and V2). Under what conditions are V2 and a2 opposite direction. Hint: m1*a1=2*T-m1*g m2*a2=-T +/- cosƟ*m*g*µ(k) 2*x1=x2 => 2*a1=a2arrow_forwardAn astronaut candidate is to be tested in a centrifuge with a radius of 10 m. He will lose consciousness if his total horizontal acceleration reaches 14g. What is the maximum constant angular acceleration of the centrifuge, starting from rest, if he is not to lose consciousness within 1 min?arrow_forward
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