ki = 1000 N/m and ka - 1500 N/m as shown in Figure 6.1. Considering a small angular displacement of e of the rigid bar about the point O, determine the equivalent spring constant associated with the restoring moment. k:
Q: Determine the equivalent torsional spring constant of a spring that will represent the system such…
A:
Q: Q. Show by an example that Kharitonov's Theorem does not hold when the stability region is the…
A: If all four Kharitonov polynomials of a continuous-time interval polynomial are stable, it is…
Q: k1 k2 k3 k4 k5 k6
A: Given that , k1=20N/mk2=30N/mk3=25N/mk4=35N/mk5=50N/mk6=60N/m
Q: As shown in the figure, a homogeneous rod of length L = 1 (m) m = 05 (kg) is fixed so that it can…
A: The length of the rod is, L=1 m Mass of the rod is, m=0.5 kg Spring constant of the both springs is,…
Q: 1. Determine the equivalent spring constant of the system shown: -xxxxxxx 0000 0000 0000 0000 k₁ sy
A:
Q: Q2. A damped masS-spring oscillator consist of a mass m attached to a spring fixed at one end, as…
A: Given, A damped oscillating system . m = 36 kg b = 12 Ns/m k = 36 kg/sec2.
Q: Determine the equivalent spring constant of the system shown in figure 1 belov
A:
Q: A pulley 250 mm in diameter drives a second pulley 1,000 mm in diameter by means of a belt as seen…
A:
Q: k1 k2 k3
A:
Q: Figure 2 Question 3 The combined pulleys in Figure 3 use friction to transmit motion. If block A has…
A:
Q: Q2-Find (meg) & (Keq) for the mechanism shown in fig (1), with respect to the displacement (x).
A: Given : To find: Meq and Keq
Q: A 40lb weight is stretched to the end of a spring. The spring is stretched 6in. Find the…
A:
Q: shaft k. disk -k,e J
A: Expressing the equation of torsional vibration system.
Q: A) Determine the natural frequency of the torsional system shown below. (Take the shear modulus as…
A: Given, Diameter of left shaft = d1 = 1 inLength of left shaft = l1 = 12 inDiameter of right shaft =…
Q: 4. Find the equivalent spring constant of the system shown. 00000
A: The figure for system of spring connected in parallel and series is given below,
Q: Consider the following spring system. C2 with spring constants c= m2 225
A:
Q: Find the equivalent torsional spring constant (up to two decimal points) of the system shown in the…
A:
Q: The damper AB in the figure si inmersed in gasoline, of relative density 0.75, has a width of 3.17…
A:
Q: Determine the equivalent torsional spring constant of the system that will be located in the…
A:
Q: a. The 2.5 m bar has a 3.5 cm diameter, a linear density of p = 8 kg/m and a modulus of Elasticity…
A:
Q: Q.5 Determine the maximum and minimum force transmitted to the subgrade by the Machine M1 shown in…
A: Given data: - The frequency of the machine M1 is f = 13.33 Hz. The weight of the machine and…
Q: by using this matrix can you show me the answer of K stiffness M = 93 0 0 53 the…
A: Given : m1 = 93 m2 = 53 ω=44.24 To find: Stiffness matrix, K
Q: As shown in the figure, a homogeneous rod with a length L = 1 (m) and mass m=0.1 (kg) is fixed so…
A: givenhomogeneous rod with a length L=1mmass of uniform rod m=0.1kguniform rod hinged at middle…
Q: 置一 with spring constants e= wn is the positive direction. fhess matrix K - e the external force…
A:
Q: Question 2. In the Figure given below, when angular displacements are exactly equal to zero, he…
A: Since the pendulums are connected by spring they are subjected to spring force Fs. Also, Fs∝…
Q: 1. Disk 2. Disk 2000 грm 212 212 a =b =c = 300 mm 30 e12 30 l = 200 mm A
A: Given : Solution : The angular velocity is given as:
Q: As shown in the figure, a homogeneous rod with a length L = 1 (m) and mass m = 0.6 (kg) is fixed so…
A: Given: The length of the rod is L=1 m, The mass of the rod is m=0.6 kg, The spring constant is k=10…
Q: Derive the expression for the equivalent spring constant that relates displacement x of the system…
A: SOLUTION: GIVEN: K1=KK2=2KK3=3KL1=L3L2=2L3L3=L FREE BODY DIAGRAM:
Q: A conveyor is used to drive the inertial load of 0.02 kg m² in the required speed range with a…
A: ◆ The moment of inertia of the load referred to the motor shaft is 0.00133 kg•m2. ◆ The rotation…
Q: A uniform slender rod of length L and mass m is pinned at point 'O' and connected to a linear spring…
A:
Q: Find the equation of the following spring system. shaft kr -k,0 disk J
A:
Q: Determine the equivalent stiffness of a linear spring when a single degree of freedom mass-spring…
A:
Q: A 3 lb motor is rigidly mounted in the middle of a 17.6 lb, 72 inch long beam, as shown in the…
A: Given:- Mass of the long beam=17.6lb Mass of the motor=3lb E=10 x 103 ksi I=0.625 in4 To find:- a)…
Q: Calculate the natural frequency of vibration of a torsional pendulum as shown in figure task 2a with…
A: length of the rod, L=1 mDiameter of the rod, d=5 mm or 0.005 mDiameter of the rod , D=24 cm or 0.24…
Q: Find the torque req link AB of the mechanism shown in figure maintain the static equilibrium. F E CD…
A: The answer is in the following steps
Q: H.W (1): An engine flywheel has a mass of 6.5 tonnes and the radius of gyration is 2 m. If the…
A: Since you have uploaded multiple questions and did not specify which question is needed to be…
Q: The static equilibrium position of a massless rigid bar, hinged at point O and connected with…
A:
Q: Determine the equivalent torsional spring constant of the system that will be located in the…
A: Given data:- The stiffness of the springs k is k = 1.5 N/m. The length of the bar is L = 2 m.
Q: Q) A weight W2 is suspended from a pulley of a weight W1 and radius R, as shown in figure permit it…
A: GivenW2=weight of block R=radius of pulley W2= weight of pulley
Q: Q4/ A weight W2 is suspended from a pulley of radius R, as shown in figure permit it to move only in…
A:
Q: a) An engine has a flywheel mass of 8-tonnes and a turning radius of 3 m. The energy fluctuation is…
A: Given Data The mass of the flywheel is: The turning radius is: The energy fluctuation is: The…
Q: Apply Newton's second law to these problems Problem B-3-12 In the mechanical system shown in Figure…
A: The Answer is below
Q: An arc with a spring coefficient of k = 2.6 kN / m ' It connects between points A and B. 0 A and 0 B…
A: Given data as per question Spring coefficient = 2.6 KN/m
Q: 5- A pulley 250 mm in diameter drives a second pulley 1,000 mm in diameter by means of a belt as in…
A: Given data: The diameter of the small pulley is d = 250 mm. The diameter of the large pulley is Dd…
Q: B. 150 N/m 750 mm 750 mm- 150 N/m 1000 mm 20 sin 5t N C5 kg
A: Given , morning = 5 kg f(t) = 20sin(5t) k= 150 N/m and b = 35 N-s/m
Q: \\\\ m, 0.5m 1m The figure shows a slender rod with a mass of 6 kg. Attached to the rod is a spring…
A:
Q: Ruestion 3 The combined pulleys in Figure 3 use friction to transmit motion. If block A has a linear…
A:
Q: Q2. An inverted pendulum consisting of a uniform bar of mass m has a torsional spring of torsional…
A: here,we use newtons method to derived motion equation.for solution refer below images.
Q: Find the Time period and natural frequency of the system shown in the figure below. The cross…
A:
Step by step
Solved in 4 steps with 4 images
- A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal aim AB (length b = 30 cm) and a vertical arm BC (length c = 20 cm) pivoted at point B. The pivot is attached to the outer frame BCD that stands on a laboratory bench. The position of the pointer at C is controlled by two parallel springs, each having a spring constant k = 3650 N/m. that are attached to a threaded rod. The pitch of the threads is p = 1.5 mm. If the weight is 65 N. how many revolutions of the nut are required to bring the pointer back to the mark?Under some circumstances, when two parallel springswith constants k1 and k2 support a single mass, theeffective spring constant of the system is given byk 4k1k2/(k1 + k2). A mass weighing 20 pounds stretchesone spring 6 inches and another spring 2 inches. Thesprings are first attached to a common rigid supportand then to a metal plate. As the figure illustrates(see image), the mass is attached to the center of the plate in the distributiondouble spring. Determine the constant of theeffective spring for this system. find the equationof motion if the mass is initially released fromequilibrium position with downward speed of2 ft/sec.In the given fig shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant of the suspension if each of the three helical springs is made of steel with a shear modulus G = 120GPaand has five effective turns, mean coil diameter D = 50 cm, and wire diameter d = 5 cm
- Find the equivalent torsional spring constant (up to two decimal points) of the system shown in the figure. Given : R = 0.2 m k1=1 kN.m/rad, k2 = 2 kN.m/rad , k3 = 3 kN.m/rad , k4 = 4 kN.m/rad , k5 = 5kN/m and k6 = 3.0 kN/mK1 For the spring shown above, kl=100 N/mm, k2-200N/mm, k3-100N/mm, P-500N, ul-u3-0 Find: 1. The global stiffness matrix 2. Displacements of nodes 2 and 3Figure below shows two pendulums suspended from frictionless pivots and connected at their midpoints by a spring. Assume that each pendulum can be represented by a mass M at the end of a massless bar of length L. Also assume that the displacement is small and linear approximations can be used for sin 0 and cos 0. The spring located in the middle of the bars is unstretched when 0, = 02. The input force is represented by f (t), which influences the left-hand bar only. Obtain the equations of motion and sketch a block diagram for them.
- 2. Figure 1 shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant (one side only. i.e., three springs) of the suspension if each of the three helical springs is made of steel with a shear modulus G = 80×10° N/m? and has five effective turns, mean coil diameter D = 20 cm, and wire diameter d = 2 cm. BUCKEYE KOR Figure 1. Parallel arrangement of spring in a freight truck.A makeshift compact torsional spring is made of steel (Gst = 11,000,000 psi) and is composed of a solid inner shaft from C to B and a hollow shaft from A to B. The solid and hollow shafts are connected through an unyielding ring at B. The necessary radiuses are shown below. Assume the ring attached to the hollow shaft at A is rigid with no rotation. If the torque applied Tat point C is 2 kip-in, find the: a Maximum shear stress in the solid inner shaft, ksi a. Maximum shear stress in the hollow outer shaft, ksi c Angle of twist at point C, degrees 12 in. 12 in. B 0.75 in. T 1 in. 0.6 in.A helical compression spring is 1o exert a force of 8.0 Ib when compressed 1o a length of 1.75 in. At a length of 1.25 in, the force must be 12.0 Ib. The spring will be installed in a machine that cycles slowly. and approximately 200 000 cycles total are expected. The tem- perature will not exceed 200°F. The spring will be installed in a hole having a diameter of 0.75 in. For this application. specify a suitable material, wire diameter. mean diameter. OD. ID. free length, solid length. number of coils, and type of end condition. Check the stress at the maximum operating load and at the solid length condition. The first of two solution procedures will be shown. The numbered steps can be used as a guide for future problems and as a Kind of algorithm for the spreadsheet approach that follows the manual solution.
- A makeshift compact torsional spring is made of steel (Gst = 11,000,000 psi) and is composed of a solid inner shaft from C to B and a hollow shaft from A to B. The solid and hollow shafts are connected through an unyielding ring at B. The necessary radiuses are shown below. Assume the ring attached to the hollow shaft at A is rigid with no rotation. If the torque applied T at point C is 2 kip-in, find the: - Maximum shear stress in the solid inner shaft, ksi b. Maximum shear stress in the hollow outer shaft, ksi c Angle of twist at point C, degrees 12 in. 12 in. B 0.75 in. T 1 in. 0.6 in.Considering the figure shown, determine the equivalent spring constant of a spring that will represent all of the given springs such that its deflection is along a vertical path with the mass. k1=1N/m k2=2N/m k3=3N/m k4=4N/m and k5=5N/m. (answer in N/m) * k2 m k3 k5 k4The figure illustrates a torsion-bar spring OA having a diameter d = 12 mm. The actuating cantilever AB also has d = 12 mm. Both parts are of carbon steel. Use superposition and find the spring rate & corresponding to a force F acting at B. 0.1 m 15m