The position of an object as a function of time is given as x = 2.1t3 + t2 -4t + 3 where x is in meters and t is in seconds. 19. What is the velocity of the object at t = 10.0 s? с. 946 m d. 616 m а. 936 m b. 646 m 20. At what time is the object at rest? c. 0.454 s d. 0.754 s а. 0.654 s b. 0.554 s 21. What is the acceleration of the object at t = 0.50 s? с. 7.3 m/s2 d. 9.3 m/s2 6.3 m/s² 8.3 m/s2 а. b.
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- C Dynamic Analysis and Aeroelasticity SECTION B Answer TWO questions from this section ENG2012-N The moment of inertia of a helicopter's rotor is 320kg. m². The rotor starts from rest and at t = 0, the pilot begins by advancing the throttle so that the torque exerted on the rotor by the engine (in N.m) is modelled by as a function of time (in seconds) by T = 250t. a) How long does it take the rotor to turn ten revolutions? b) What is the rotor's angular velocity (in RPM) when it has turned ten revolutions?The small particle of mass (800 gm) spinning with angular velocity (w₁ = 2.3 rad/s, at r₁ = 400 mm), if we use force (F) to change the Angular velocity to (w₂, and r₂ = 250 mm) the value of F is: W1 Select one: A. None B. F = 5.63 N C. F = 9.47 N D. F = 3.52 N FProblem Solving: )An object falls from rest in a medium offering a resistonce. The velocity of the object hefore the ohject reaches the ground is given by the differential egua- tion dv/t + V% = 32, t/sec. uhat is the veloaty of the okject one second after it falls ?
- A ball (2 kg) moves with a speed 6 m/sec, the required force to stop the ball in 7*10-4 sec equals toRemaining Time: 46 minutes, 11 seconds. * Question Completion Status: A Moving to another question will save this response. Question 4 A bob mass in a conical pendulum attached by a cord makes an angle 0= 10° with the vertical and moves with a constant speed. Find the centripetal acceleration (in m/s-) of the bob mass. O 5.77 O 2.68 O 4.66 O 1.76 O 3.64 A Moving to another question will save this response.3. The force of a linear spring is given by F = kx, where F and k are the force on the spring and its stiffness, respectively. What is the dimension of k in the MLT system of units? a. M/L ML/T² b. F/L M/T² 4. A vehicle is running at 80 kph in a highway. If its wheel has a diameter of 524 mm, how fast is it turning in rpm. Assume that there is no slippage between the ground and the wheel. C. 742 d. 810 a. b. C. d. 565 675
- 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?1) From 0 to 10 sec, find alphaA1, alphaC1 in rad/s^2, omegaA1(t), omegaC1(t) in rad/s, thetaA1(t), thetaB1(t) and thetaC1(t) in rad, and the distance made by the load s1 in inches and in feet made by the load during this time.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 v and acceleration a of the clevis attachment at B. 2.7 B 3.6' PA 37° Part 1 Correct Determine the indicated terms used in the velocity and acceleration formulas. 2.7 B 3.6' 37° Answers: r- 75.6 in. 37 トー 6 in./sec 9 - 0.21 rad/s Fー -3 in./sec? 0 - rad/s?
- 1. The wheel starts rotating from rest, is w=0.1.0², where 1) if its angular velocity W as a function of angular position is in radian, and its radius ris 0.2 m, what is the magnitude of the linear velocity of point Pafter the wheel has turned 1.5 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point and proper unit. Your Answer: Answer P units1. Circle weather the following statements are true or false. If the statement is true justify your reasoning if the statement is false correct the statement to make it true or justify why it is false a. Impulse is the integral of a force vs distance graph b. In two dimensions analyzing linear and angular momentum provides up to three scalar equations. c. Linear acceleration and angular acceleration both have units of ft/s^2 or m/s^2 d. When absolute motion or a rigid body it is important to find a function that relates linear and angular position then integrate to find velocity e. Instantaneous centers can only be determined for velocity and only for a snapshot in time1. The wheel starts rotating from rest, 2) if its angular velocity Was a function of angular position 0 is W=0.1-0², where O is in radian, and its radius ris 0.2 m, what is the magnitude of the angular acceleration (in rad/s?) of the wheel after the wheel has turned 1.1 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. P