A bucket is hanging from a horizontally moving crane. Calculate the maximum allowable speed (m/s) of crane if L=8.8m and 0 is limited to 24 degrees when the crane suddenly stops. Round off only on final answer expressed in 3 decimal places.
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- In the figure, the elevator moves downward with a constant velocity of 2.74 m/s. Determine the magnitude of velocity (m/s) of the cable C. Round off only on final answer expressed in 3 decimal places. NOTE: Instead of units, indicate direction of block B: use U if upwards or Dif downwards. pulleys 2.JPG ... w MAn engineer is designing the runway for an airport. Of the planes that will use the airport, the lowest acceleration rate is likely to be 2.98 m/s2. The takeoff speed for this plane will be 65.69 m/s. Assuming this minimum acceleration, what is the minimum allowed length (m) for the runway? Round off only on the final answer expressed in 3 decimal places.with proper derivatives/integrals and units. Box or indicate your final answers when solving. Use 2 decimal places for final answers. 1.) A bus is travelling north at a constant speed of 17m/s. How long will it take for the bus to reach a 5 km stop?
- Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 6 in./sec, which is decreasing at the rate of 3 in./secevery second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 12 deg/sec. Determine the velocity vand acceleration a of the clevis attachment at B. B 2.7 3.6' 370 Part 1 Correct Determine the indicated terms used in the velocity and acceleration formulas. B 2.7' 3.6' 37° Answers: r- 75.6 in. 37 in./sec 9 - 0.21 rad/s -3 in/sec? 0 - rad/s?Question 2 The motion of a particle is defined by the function x = at³ - bt² + ct + d where x is in centimeters and t is in seconds What is the velocity (in cm/s) of the particle at t = 3.3s if a = 1.9, b = 2.4, c = 6.9, and d = 11.4. Round off the final answer to five decimal places.A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance measured along the beam; [x]=[L] y = displacement of the beam; [y]=[L] = circular frequency of vibration; []=[T1] = mass of the beam per unit length; []=[ML1] D = bending rigidity of beam; [D]=[FL2] Show that the equation is dimensionally homogeneous. Note that [F]=[MLT2] see Eq. (1.21:).
- There are 26 heavy smokers in a lounge. The minimum fresh air requirement for smoking lounges by ASHRAE is 30L/s per person. Solve for the minimum diameter in m of the duct if the air velocity is not to exceed 7.88m/s. Round your answer to 3 decimal places.Q1. 1) The missile at point A takes off from rest and rises vertically to point B after 6.7 seconds, where its fuel runs out. During this time the acceleration of the missile is a = (C.t) m/s², where C = 3.4 is a constant and tis time in s. (Hint, this expression of acceleration already takes into consideration of gravity.) Then by internal controls the missile tilts to an angle = 40° as shown, while keeping the speed, vg, it has attained, and from there it travels in free flight until it lands on the ground at point D. Determine the missile's height he (in m) at point B. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². C B hB hc R- DMechanical Advantage Classwork Directions: Show all work with the following steps... 1.Write the equation. 2.Fill in the equation. 3.Solve. To find the Mechanical Advantage of ANY simple machine when given the force, use MA = R/E. An Effort force of 30N is applied to a screwdriver to pry the lid off of a can of paint. The screwdriver applies 90N of force to the lid. What is the MA of the screwdriver? 1. MA =
- UPVOTE will be given! Please write the complete solutions legibly. No long explanation needed. Answer in 2 decimal places. Dynamics of Rigid Bodies A particle moves that is defined by the parametric equations given below (where x and y are in meters, and t is in 2 seconds). x = 3t2 - 1 ; y = t3 - 3t2 + t - 3 Solve for the following: a. radial component of the velocity (m/s) b. transverse component of the velocity (m/s)A concrete block is at rest on an inclined plane that makes an angle of 37° with respect to the horizontal. If the concrete block weighs 206 lb, what is the frictional force between the block and the inclined surface? Round to 1 decimal place. Recall that, since the block is not moving, the frictional force that holds it in place is exactly the same size as the component of the weight parallel to the ramp but in the opposite direction. y Ff 37° 37° 206 lb Frictional force =A wind turbine has a power coefficient C, = 0.46 and is able to generate 1.6 MW. What was the amount of wind power available. Express the result in MW rounded off to 2 decimal places. Do not write the unit.