The weight is equal to the mass multiplied by the ground acceleration (9.81). Error true The value of the resultant slope from the x axis can be found from the following equation. cos x= Ry / Rx tan x= Ry / Rx. tan x= Rx / Ry. sin x= Rx / Ry Torque is defined as the force multiplied by the oblique distance: Error true * *
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- 2. Answer the question completely and write down the given, required and formula that had been used. Provide graph and accurate/comple solution. The value are: V- 1 X- 5 W- 7 Y- 6 Z- 8Consider 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?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 Required information Consider given force vectors. Take F= 15 lb. y Q = 60 lb 30° 20 60° 60° 45° P = 100 lb Write an expression for each force using Cartesian representation, and evaluate the resultant force vector. = (- 4.58 i + 26.83 12.6 k ) lb 39.8 i + 30 j 33.4 k) lb 70.7 50 k) lb 50 85.22 i 13.87 29.2 k) Ib %3DAn object rotates about a fixed axis, and the angular position of a reference line on the object is given by 0=let, where 0 is in radians and t is in seconds. Consider a point on the object that is 1.46 m from the axis of rotation. At t=1.7s, find the magnitude of the point's radial component of acceleration? Round your answer to zero decimal places.4:08 ll ? - Search A docs.google.com submit this form. Not murtaza.ahmed.moren635@student.uobabylon.e du.iq? Switch account Required choose the correct answer: Express F = 10O N (shown in the figure below) as a Cartesian vector. * TOON 7. 60° 35.4i + 35.4j + 86.6k 35.4i - 35.4j - 86.6k 35.4i + 35.4j - 86.6k 35.4i - 35.4j + 86.6k Determine the magnitude of the projection of the vector force F = 100N, onto u axis, from the figere give o
- 5. An engineer is planning to use gabion retaining wall to protect a section of Kennon road from landslide. A gabion is a wire mesh container filled with rocks. The engineer must estimate the volume of the rock to be used. If the gabion wall will have a thickness of 5ft, estimate the volume of the rocks given the measured depth of the wall every 10 ft of its width based from the road level. width, ft 10 20 30 40 50 60 70 80 90 depth, ft 5 12 20 18 17 13 10 5 a.) estimate the area of the wall using multiple trapezoidal rule with n=9 b.) estimate the area of the wall using single application of Simpson's 3/8 rule c.) estimate the volume of the rocks to be used using the area in a.) and b.)Problem Solving: ) A car is fraveling at the speed Vo on a Tevel road. After the brakes arc applicd at t- 0, the motion can be approximated by x where x is the distance traveled in mcters and t is the time in scconds. Find: (a) Find the value of Vo (6) Find the distance reguired for the car to straight, %3D 2. --t+ 17t 100 stop.Q6 The relationship between the velocity, u, of a construction vehicle (in km/h) and the distance, d (in metre), required to bring it to a complete stop is known to be of the form d = au² + bu + c, where a, b, and c are constants. Use the following data to determine the values of a, b, and c when: a) u 20 and d = 40 b) u = 55, and d = 206.25 c) u = 65 and d = 276.25 [Note: Use an appropriate standard engineering software such as MATLAB, CAS calculator, programmable calculator, Excel software]
- 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:).The collar at C is pin connected to DC and slides freely along AB. For the given values: 8 = 45° WDC = 4 rad/s aDc = 2 rad/2 2 ft B #11 apc D ODC Calculate the vector r C/A 3 ft Choose... 1.89 64.5 -3i 3j 5.6569 7.99 3i -30.47 -3j 15.6 0 2.56 Choose... Calculate the magnitude of the acceleration at point C (ft/s²) Choose... Calculate the angular velocity of link AB (red/s) Choose... #A cart weighing 0.5 kg is drawn up a smooth 45° incline by a motor, M, winding up a cable. The force in the cable can be expressed as 5t² N, where t is in seconds. When t = 0, the displacement s = 0 and the initial velocity is 3 m/s. Find the cart's velocity when t = 2 seconds. > Draw a very clear FBD of the cart that you can use to write the equations of motion > Write the equations governing the cart's motion along the incline. Use axes parallel and perpendicular to the incline. Find the velocity requested