Consider the thin rod of length l moving in the x-y plane as shown in Fig. P26.13. The rod is fixed with a pin on one end and a mass at the other. Note that
FIGURE P26.13
Let
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EBK NUMERICAL METHODS FOR ENGINEERS
- 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.arrow_forward2. ! SHOW COMPLETE SOLUTION ! *pls draw FBD *pls use data give properly : rate will be low if not explained properly Problem 2: The pulleys are frictionless and of negligible weight Find: 2.1 Tension (N) in the cord supporting block C. 2.2 Acceleration at Block A (m/s^2) 2.3 Acceleration at Block B (m/s^2) 2.4 Acceleration at Block C (m/s^2)arrow_forwardFind: friction force between the spool and the ground. and the UNIT of measurement of the acceleration of the mass center of the spoolarrow_forward
- A shaft is rotating at a uniform speed with four masses m1, m2, m3 and m4 of magnitudes 300 kg, 450kg, 360kg and 390 kg respectively. The masses are rotating in the same plane. The corresponding radii of rotation are 200mm, 150mm, 250mm and 300mm. The angles made by these masses with respect to horizontal are 0°, 45°, 120° and 255° respectively. 1) Check the magnitude and position of balance mass if it radius of rotation is 200mm, and 2) Evaluate the effect of adding the balance mass to the system. solve it using garphical methodarrow_forwardA wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10 m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) isarrow_forwardA double collar C is pin connected together such that one collar slides over a fixed rod and the other slides over a rotating rod. The geometry of the fixed rod for a short distance can be defined by a lemniscate, ² = (4 cos 20) ft². Rod OA is rotating at a constant rate of 0 = 5.6 rad/s. (Figure 1) Figure Part A Vr, vg = Submit ²2² = 4 cos 20 OF ΠΆΓΙ ΑΣΦ 0 Determine the collar's radial and transverse components of velocity at the instant = 0° as shown Express your answers in feet per second to three significant figures separated by a comma View Available Hint(s) 11 vec A ? 1 of 1 ft/sarrow_forward
- If VA = 96.2 i in/sec in the figure below, find w2, the angular speed of bar B2. By 12 in. Bs B8 in. i -10 in. To calculate the angular speeds of the two bars B2 and B3, you need to use the two point formula: 1) fırst on rigid body B2 to calculate the velocity of point B (since you know velocity at point A) 2) then on rigid body B3 to calculate the velocity of point D (since you know velocity at point B) 3) Note that the velocity at point D has to be zero. Thus the two components of the velocity are zero giving you two equations to solve for the two unknown angular velocities. Figure is from "Engineering Mechanic An Introduction to Dynamics", McGill and King.arrow_forwardThis most likely is made to be a probelm about mx''+bx'+kx=f(t) m = mass b = friction k = spring constant 4. A mass weighing four pounds stretches a spring 24 in. Suppose the mass is atequilibrium and is set into motion with a velocity of 6 inches per second. The mass is in a mediumwhere friction is small, and we assume it is zero. Note that the acceleration due to gravity near theearth’s surface where the experiment takes place can be taken as 32 ft/s2.(a) Suppose that in addition to the conditions described above, a hammer strikes the mass everyπ/2 seconds starting at t = 0. A delta function with impulse of 1 pound-second models theforce of each blow to the mass. Find the function x(t) for the displacement from equilibrium infeet of the mass at time t in seconds. Express x(t) as a piecewise defined function without the use ofunit step or Heaviside functions and such that in each time window it is a different multiple of the samesinusoidal function.(b) Now assume the same spring-mass…arrow_forwardHW3) PQRS is a four bar chain with link PS fixed. The lengths of the links are PQ = %3D 62.5 mm ; QR = 175 mm ; RS = 112.5 mm ; and PS = 200 mm to be vertical. %3D The crank PQ rotates at 10 rad/s clockwise. Draw the velocity and acceleration diagram when angle QPS = 120° and Q and R lie on the same side of PS. Find the angular velocity and angular acceleration of links QR and RS.arrow_forward
- 1 A SPHERICAL PORCELAIN BALL, WITH RADIUS R, IS DROPPED WITHOUT INITIAL VELOCITY IN A TEST TUBE CONTAINING GLYCERIN. DURING FALL, THE BALL IS SUBJECT TO THE FOLLO... A spherical porcelain ball, with radius r, is dropped without initial velocity in a test tube containing glycerin. During fall, the ball is subject to the following forces: P its weight; A the thrust of Archimedes; fluid friction force f = k v with k = 6 πrn; n: viscosity (Pa s) of Glycerin, V, velocity Density of Glycerin pg= 1.3 g/mL; density of porcelain pp = 2.3 g/mL; r ball radius= 1.0 cm; n = 1.0 s.Pa; g = 10 N/kg; volume of a sphere V = 4/3 πr³. The speed limit (in m/s) is: 0.11 0.22 0.44 0.33 0.55arrow_forward1. ! SHOW COMPLETE SOLUTION ! *pls draw FBD *pls use data give properly : rate will be low if not explained properly Problem 1: The pulleys are frictionless and of negligible weight Find: 1.1 Tension (N) in the cord supporting block B. 1.2 Acceleration at Block A (m/s^2) 1.3 Acceleration at Block B (m/s^2) 1.4 Acceleration at Block C (m/s^2)arrow_forward10. A 200-g pendulum is suspended on a cart moving to right with the indicated acceleration. If the acceleration si 0.5 m/s2, compute the angle 0 in degrees. a. 2.92 b. 3.64 C. d. 4.21 Answer is not among the choices 11. A billiard ball is about 61 mm in diameter and has a mass of approximately 210 g. If the balls are placed in contact, estimate the force (in Newtons) of attraction between them. a. 7.91 x 10-10 C. 5.91 x 10-11 b. 6.67 x 10-11 d. Answer is not among the choicesarrow_forward
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