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 of E = 8000 MPa, and the gymnast has a mass of 45 kg. Wha the static deflection of the midpoint of the bar? b. What is the dynamic equation for the vertical motion of the bar about the static equilibrium point as the gymnast holds this position?

Q: Now imagine a set up as shown below: a) The 10 kg mass is placed on a plank at 1.5 m from the…

A: Mass of the object is 10 kg Distance of the mass from the fulcrum is 1.5 m

Q: The 20kg uniform rectangular plate is supported by an ideal pivot at O and a spring which must be…

A: Given Mass = 20 kg Modulus of spring = 2 kN/m To find Undeformed length of spring

Q: The condition for a perfect frame is (N - number of members, j- number of joints) IN = 3j – 2 ON= 2j…

A: Perfect frame A perfect frame is a structure that is made of members and members are sufficient to…

Q: The mass of each ball of a spring controlled grainty governor is 1.4 kg. The bell crank lever has…

A: The solution is given in next step

Q: review engineering statics Take d1 = 600 mm, d2 = 800 mm, θθ = 45° and F = 500 N (a) Show that…

A: To find support reaction at point A,B,D

Q: The system below is in balance. Assume that the maximum traction on the AB bar is 132.9 N, on the AC…

A: AS WE SEE THE TRACTION ON BAR AB = 132.9 N                                             ON BAR BC =…

Q: A uniform rod PQ of mass mkg and length 4a, the end P of the rod is hinged to a point on the…

A: Step 1given data PR = 3amass of rod is 'm' kg (PQ)Tension T ≤2 mg13

Q: Any time you have to climb a ladder, you want the ladder to remain in static equilibrium. At what…

A: solved;

Q: a = 850mm, b= 50mm, c = 360mm, d 620mm, e = 660mm Spring(CD) : k = 4400N/m, l = 650mm. m= 600kg, F =…

A:

Q: A light spring of force constant k = 160 N/m rests vertically on the bottom of a large beaker of…

A: As the when the mass is attached to the springthe equilibrium attended by spring system and  the…

Q: For the spring assemblage shown below, Determine the displacement at node 2 and the for each spring…

A:

Q: A block of mass m is supported by the three-bar The masses of the bars are neg- frame shown in Fig.…

A: Consider the diagram shown below for the displacement of the mass.

Q: The CORRECT free body diagram is

A: To Find the correct free body diagram

Q: Each spring has an unstretched length of 2 m and a stiffness of k = 330 N/m .(Figure 1) Figure ▼…

A:

Q: . Examine the equilibrium configuration for the beam shown below. Assume the beam and support are…

A:

Q: Three linear elastic springs with constants kA, kB, and kC are connected to a rigid bar of length 2a…

A:

Q: The diagram shows a ladder AB, of length 2a and mass m, resting in equilibrium on a vertical wall of…

A: (a) Writing torque about point  2mgcos30od+2mgcos30oa=N1hsin30omg3a+2d2h=N1 (b) Redrawing the…

Q: If a force of F = 60 lb is applied to the pads at A and C, determine the smallest dimension d, in…

A: Given:-  F = 60 lb To Find:-  Smallest dimension (d) in ft

Q: Problem 2: Review of Statics & Mechanics Consider the beam below. The beam has a pin support on the…

A: The free body diagram of the beam is given below, On taking moment about B,…

Q: . Calculate the force in the cable and the components for the pin reaction at A D Cable 35° A C 8 ft…

A:

Q: mass of 30kg is hung from a spring of stiffness k=2.5x105 N/m which is attached to an aluminum beam…

A: Given data A mass = 30kg  stiffness k=2.5x105 N/m aluminum beam (E=71X109 N/m2 density=2.7x103…

Q: review engineering  statics  Take d1 = 600 mm, d2 = 800 mm, θθ = 45° and F = 500 N (a) Show that…

A: Given data  Given force system

Q: 3. Determine whether the following rigid bodies are in static equilibrium. Explain your answers. IT…

A: Both bodies are not in equilibrium. (I) force is not balanced (II) moment is not balanced

Q: Determine the magnitudes of the pin reactions at A, B. and C caused by the weight of the uniform…

A:

Q: A uniform beam of length 2.5 m is hinged at its bottom end. Its top end is held in place by a…

A:

Q: Prob. 5 For 2 points, sketch a 5 lb semi-circular disc, of radius 6 ins, that is held in equilibrium…

A: givenm=5lb=2.26796kgk=80lbf/ft =108.465N/mr=6in

Q: Determine the reactions at the support. 400 G 7ft 1400 6

A: Given data as per question force acting at 3ft distance from oint a=400lbForce acting at free end…

Q: Two blocks A and B have a weight of 50 N and 30 N, respectively. They are resting on the incline for…

A:

Q: A mass-spring system is driven by the external force S-2, 0 <t < 5 g(t) = %3D 2. 5sts 10'g(t + 10) =…

A:

Q: The system below is in balance. Assume that the maximum traction on the AB bar is 132.9 N, on the AC…

A: Consider the Free Body Diagram: Given:TAB=132.9 NTAC=263.8 N

Q: F= 20 KIP F, = 50 KIP 300 450 60 ° 450 150 750 F, = 10 KIP 2. (25 pts) If the circle above is in…

A:

Q: The disk has a weight of 10 lb and is subjected to a vertical force P = 6 lb and a couple moment M=8…

A:

Q: The structure consists of a spring CD and a solid member ABC with a slot at B. The peg at B fits…

A:

Q: 0.4m 0.4m 60° C 0.4m B The diagram shows a wall-mounted light. It consists of a rod AB of mass 0.25…

A: (a) Draw the free-body diagram of the system.

Q: A journal 25 mm in diameter supported in sliding bearings has a maximum end reaction of 2500 N.…

A:

Q: Determine the equiv. torsional stiffness for the system shown in Figure (4) as measured around the…

A:

Q: The bars shown are the same length. The spring is unstretched when alpha= 90°; the horizontal…

A: Consider the diagram as shown below.

Q: 6 kN/m 6 kN/m 3 kN/m A B -3 m 3 m

A: The support reactions in the given beam can be calculated using the three equations of statics which…

Q: Motors control T2 0.5 m 0.5 m 0.5 m'0.5 m 2m E 2500 N Since the system in the figure is in…

A: Given figure

Q: A 30kg mass is tied to a uniform rod whose mass and length are 80-kg and 8-m, as shown below. The…

A: Draw the free body diagram of the 30 kg mass: Consider the equilibrium of vertical forces:…

Q: k, k3 A k2 What is the equivalent spring stiffness between the points A and B. If ki = 1 N/m, k2 = 1…

A: Given:spring stiffness, k1=1 N/mk2=1 N/mk3=2 N/mk4=2 N/m

Q: The uniform bar AB shown in Fig. mass of 10 kg. The spring is unstretched when 6= 0°. If 4 = 50 N/m…

A: Given Data: The spring constant is k = 50 N/m. The length of the rod is L = 2 m. The mass of the…

Q: A uniform pole 20 ft long and weighing 80 lbs is carried by two men A and B, one at each end of the…

A:

Q: The uniform bar with end rollers weighs 53 lb and is supported by the horizontal and vertical…

A: Given data,  Uniform bar of weight w= 53 lb  A and B is roller support  so there will only normal…

Q: 6. If the 2.30 kg uniform beam shown in static equilibrium, what is the magnitude of F, ? 30 0° 5.00…

A: Given: Mass of the beam (m)=2.3kg

Q: Calculate the tension force in the cable BC of the equilibrium rigid bo significant number). 60KN…

A: The free body diagram of the system is as follows:

Q: 25 KN Using the method that has been covered, find the displacement of the node 2 if E1 = 100 GPa…

A: Answer is given below

Q: site, a uniform pole of length(1)=6.00m and At a construction mass(m)=66.2kg is connected by a hinge…

A: (a) Draw the free-body diagram of the pole.

Numerical Calculations

In the mid-20th century, the availability and the growth in power of digital computers led to the increase in the mathematical model in the field of engineering and science. The analysis of these detailed models needs to be increased.