Question: Figure illustrates a pendulum with a base that moves horizontally. This is a simple model of an overhead crane carrying a suspended load with cables.

Figure illustrates a pendulum with a base that moves horizontally. This is a simple model of an overhead crane carrying a suspended load with cables. The load mass is m, the cable length is L, and the base acceleration is a(t). Assuming that the cable acts like a rigid rod, derive the equation of motion in terms of Î¸ with a(t) as the input.

Step by Step Solution

★★★★★

3.42 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Use 346 with M P mgL sin I P mL 2 a Px at and a ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

755-C-D-S-D (182).docx

120 KBs Word File

Students Have Also Explored These Related Classical Dynamics Of Particles Questions!

Figure illustrates a pendulum with a base that moves. The base acceleration is a(t). Derive the equation of motion in terms of Î¸ with a(t) as the input. Neglect the mass of the rod. yA P

Figure illustrates a cylindrical buoy floating in water with a mass density (. Assume that the center of mass of the buoy is deep enough so that the buoy motion is primarily vertical. The buoy mass...

Figure illustrates the formation of an interference pattern by the Lloyd??s mirror method. Light from source S reaches the screen via two different pathways. One is a direct path, and the second is...

3 . 4 2 Figure P 3 . 4 2 illustrates a pendulum with a base that moves horizontally. This is a simple model of an overhead crane carrying a suspended load with cables. The load mass is m , the cable...

Week 3: No Plagiarism No content from other students papers. Post should be in APA 6th edition format, I will need References and in-text citations. This website should be useful for all APA...

Must be handwritten neatly and show all work and steps for upvote 1. A car with good tires on a dry road can decelerate (slow down) at a steady rate of about 5.0 m/s when braking. If a car is...

Handwrit/e neatly and show all work and steps 1. A car with good tires on a dry road can decelerate (slow down) at a steady rate of about 5.0 m/s when braking. If a car is initially traveling at 55...

Must all be handwritten neatly and show all work and steps 1. A car with good tires on a dry road can decelerate (slow down) at a steady rate of about 5.0 m/s when braking. If a car is initially...

Purpose The purpose of this lab is to introduce the student to the concepts of simple harmonic motion. Introduction A pendulum consists of a bob at the end of a string which is suspended from a...

solve 3 . 4 1 please 3 . 4 1 Work this problem as specified in the problem statement in the textbook, and as specified below. For problem 3 . 4 1 , in addition to the requirements for this problem...

The tailgate of a car is supported by the hydraulic lift BC. If the lift exerts a 125-N force directed along its center line on the ball and socket at B, determine the moment of the force about A....

Acetylene (CH) gas is often used in welding torches because of the very high heat produced when it reacts with oxygen (O) gas, producing carbon dioxide gas and water vapor, calculate the moles of...

Which of the following is / are true regarding revocation of a CFP professional's right to use the marks? 1 . Revocation is permanent. 2 . A CFP certificant may petition CFP Board for reinstatement...

11.37 With reference to Exercise 11.36, estimate the hardness of a sheet of steel with a copper content of 0.05% and an annealing temperature of 1,150 degrees Fahrenheit.

Use MuPAD to find all the values of x where the graph of y = 3 x - 2x has a horizontal tangent line.

Use MuPAD to determine all the local minima and local maxima and all the inflection points where dy/dx = 0 of the following function: y = x - + 8x - 4 3

The surface area of a sphere of radius r is S = 4r 2 . Its volume is V = 4r 3 /3. a. Use MuPAD to find the expression for dS/dV. b. A spherical balloon expands as air is pumped into it. What is the...

People within an organization working on multiple efforts concurrently is an indicator of completely allocated staff. shrewd scheduling. optimized processes. project prioritization too many projects...

The Bank of Willaine, Inc. issued an obligation to depositors who agree to pay ten (10) percent failsafe for one year. With the funds it acquires, The Bank of Willaine, Inc. can invest in different...

In a recent study on worldhappiness, participants were asked to evaluate their current lives on a scale from 0 to10, where 0 represents the worst possible life and 10 represents the best possible...