Consider the hanging crane structure in Figure 1. Write the equations of motion describing the motion of the cart and the payload by using Newton's 2nd Law. The mass of the cart is M, the mass of the payload is m, the mass-less rigid connector has length L, and the friction is modeled as Fb(t) = -bx_ where x is the distance traveled by the cart. Hint: Use normal and tangential coordinate systems.

Q: given below, in the arm slide mechanism, the actuating limb angular position is (theta)θ12 = 600 and…

A:

Q: A centrifuge is often used for astronaut training. A simplified version is sketched in Figure P3-22,…

A: As the cockpit is rigidly fixed to the arm, there won't be any Coriolis component of acceleration…

Q: Problem #1 The 1.5 Mg four-wheel-drive jeep is used to push two identical crates, each having a mass…

A:

Q: Using the general Lagrange equation, write the model for the elevator shown. Sketch the block…

A: Write the model (equation of motion) using Lagrange's equation and sketch the block simulation…

Q: 1. Make a sketch of the of the friction block sliding down the inclined track. Draw and label…

A: Data given-  A block sliding on inclined surface

Q: Figure Q4 below shows a car on a rough surface road. The coefficient of static friction between the…

A: (a) Draw the free-body diagram of the car in case of four wheel drive. Write the given data. b=3.5…

Q: Body U with mass 5m is stacked on the top body W with mass m, and released. The bodies are in…

A: 1.

Q: Using an appropriate method, predict the velocity of block B after block A has moved 2 m.…

A:

Q: Q6 Figure Q6 shows the masses of the boxes are ma = x kg and mp = y kg. The coefficient of static…

A:

Q: A particle moves in a circuler patu and starts from rest as shown. The acceleration along. the path…

A: Given:To find:(a) Position of the particle after 2 s.(b) Velocity of the particle after 2 s.(c)…

Q: Given the pulley system with block A and a pull down motion at point B at 6 m/s, determine the…

A: (a) and (b) and (c) Consider the diagram as shown below for the given system.

Q: The hammer of a Charpy impact toughness test machine has the geometry shown, where G is the center…

A: Step 1: Step 2: Step 3: Step 4:

Q: 6. A crane lifts a 3000kg block with a chain vertically upward. a. The resting block has been lifted…

A: Given dataMass of the block m = 3000kga) Acceleration of the block which is lifted from rest a =…

Q: calculate s..

A:

Q: PA-2 m/s -45 Given: Block A is moving down at 2 m/s. Find: The velocity of B at the instant 0=45°.…

A: Steps:

Q: Don't Use Chat GPT Will Upvote

A: To write an expression for the sum of the forces in the  x -direction on a jeep experiencing only…

Q: u =0 UnitsTm/s^ 2 umberT-7.4 7.4 j UnitsTm/s^ 2 umber -0.88 f you would like to Show Work for this…

A: Givenmass of slab m1=40kgmass of block m2=9kgbetween block and slabcoefficient of static friction…

Q: a) The two systems shown are very similar. In both cases, the horizontal surface is frictionless.…

A: NOTE:-As per honor code and answering guidelines I can answer 1st question at a time (as the…

Q: As shown in the figure. A plot of potential energy U versus position x of a 2 kg particle that can…

A: Calculate the total energy of the particle when it is released at the position x=5 m i.e. at point…

Q: A toy manufacturing factory uses a helical ramp to bring down its boxed product as shown in Figure…

A: Given Data The radius of the helical path is: r=0.6 m The angular velocity of the box is: θ=0.4t3…

Q: Problem 3 (33) When the roller coaster is at point B as shown in the figure below it has a speed of…

A:

Q: An engineer is designing the runway for an airport. Of the planes that will use theairport, the…

A: NOTE: since the plane starts from rest to takeoff , so we consider initial velocity u = 0 m/s final…

Q: Which of the following is the correct velocity vector equation for the linkage below? DA B. je D. 2e…

A:

Q: Required information The landing gear for a fighter jet rotates about line a so that it retracts…

A: Ans Given Now calculate the positional vector OA asNow calculate the moment of force F about point O…

Q: 3. Consider the system in Figure 3-15. Initially the spring has its unstretched length lo and the…

A:

Q: A) Find the acceleration constraint for this system. It is a single equation relating  a1y ,  a2y…

A:

Q: Fün DRIVE THE EQUATIONS OF MOTION FOR THE SYSTEM SHOWN IN

A:

Q: v (m/s] 00 m/s veSta 60 2-10 30m/) 30 Imys t (sec] 10sec 20sec

A:

Q: Under what condition can the rectangular component of the angular moment of a rigid body be related…

A: Given Data: Under what condition can the rectangular components of the angular momentum of a rigid…

Q: nguar speed, wnich one or the folowing statements is false shown below B a. Normal component of the…

A: If angular velocity is constant then angular acceleration must be zero. Here, a), c) and d) are…

Q: Part b) Now a force F(t) is added to the system as shown in Figure Q1b. Derive the equation of…

A:

Q: Compute the torque to be applied by the servo motor fixed to the pin at point

A: Torque applied by servo motor is required

Q: In Figure 2 the collar A slides on the horizontal bar. At the instant shown, its coordinates are x =…

A:

Q: Find the general equation of the ellipse which satisfies the given conditions. 1. foci F₁(-7,6) and…

A: Given data: F1=(-7,6)F2=(-1,6)foci is 14

Q: Write the equation for the general motion.

A: Draw the free body diagram,Both springs are parallel,

Q: write the Equation of Motion. (No gravity)

A:

Q: Given: va and 0 Find: Horizontal distance it XB travels and vc: B VA = 10 m/s Plan: Apply the…

A:

Q: A solid sphere (I = mr?) starts from rest at a height h and rolls down an incline of angle 0 without…

A: Given data: The inertia of the sphere is I=25mr2 The relation linear velocity and angular velocity…

Q: As shown in the figure. A plot of potential energy U versus position x of a 2 kg particle that can…

A: To determine the maximum speed we apply the law of conservation of energy.

Q: Write generalized coordinates and lagrange equation and equation of this system. M

A: From the given data; So,

Q: Describe the motion of the ball moving across the following ramp configurations. Please note that…

A: Describing the motion of ball

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.