find the equations of motion using the lagrange equations of motion. the car kas mass m and moment of inertia equal to Ic, exact dimensions needed to solve are on the picture. The bottom plate is moving to the left with the velocity v

find the equations of motion using the lagrange equations of motion. the car kas mass m and moment of inertia equal to Ic, exact dimensions needed to solve are on the picture. The bottom plate is moving to the left with the velocity v

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.75P

See similar textbooks

Related questions

Q: A flywheel with a radius of gyration 0.9 m is fitted to a multi cylinder engine, which runs at a…

A: Given data:

Q: he figure. ohous a opool kas a masa gyration of ko - 8,580 m of 35oky and a radius of the angular…

Q: A uniform rod of length 55.0 cm is tilted above the horizontal at a 20.0 degree angle as shown. It…

Q: Each road wheel of a motor cycle has a mass moment of inertia of 1.5 kg-m2. The rotating parts of…

A: A two-wheeler vehicle is always at an angle to the vertical plane while turning. Theta is the symbol…

Q: A dancer is spinning at 72 rpm about an axis through her center with her arms outstretched, as shown…

A: Therefore, The value of moment of moment of inertia would be 1.212 kg.m2.

Q: A weight of 500 kg is being lifted up at a uniform speed of 1.5 m/s by a winch driven by a motor…

A: Given data: M=500 kgV=1.5 m/sN=1000 rpmJo=Jw=0.3 kg.m2Tl=100 N.m Need to determine the motor torque…

Q: A flywheel with a radius of gyration 0.9 m is fitted to a multi cylinder engine. It runs at 1000…

Q: ey shown below with radius of 140 mm and moment of inertia I Is from rest, find the distance it…

A: given:r=140mmI=7×10-3mass m=3Kg

Q: Question #1: Find the total system kinetic energy for the weight and pulley system shown in the…

Q: In a new design of the system, the material the rods are made of is changed (and as a result the…

Q: A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum.…

Q: segment, W is the weight of the arm of mass, m, moving the arm in abduction/adduction. If we had…

A: solution of above problem is below:

Q: The figure below gives the moment of inertia Io for a point mass rotating about point O. As a…

Q: wo balls of mass ma and mp are connected by a massless rod of length L. The two vertical ashed lines…

Q: Bar AB is rotating about A with an angular velocity of wAB 2 rad/s counterclockwise. At this instant…

A: Angular Velocity:- Angular velocity is nothing but the rate at which the link rotates around the…

Q: In the figure, the engine of a vehicle is shown as a representation.The crankshaft of the engine…

A: When a vehicle (say an aeroplane) with its rotor rotating clockwise when viewed from the tail end,…

Q: the crank slider mechanism is presented on the photo. the crank turns with constant angular velocity…

A: Given : To find : Velocity and acceleration of OA

Q: 2) For the system shown below, find the equivalent mass of the pinion-rack assembly with respect to…

Q: Answer all parts please Crate A has a mass, mA-5 kg and attached to a rolling ball with a mass of…

Q: The rigid body in the figure rotates freely about the pivot at A. If the body is released from rest…

A: (a) The moment of inertia of the body about the point A can be determined as,

Q: Question Four: A mass m is hanged by a rope which is turned around a fixed bulley of radius r and…

Q: A flywheel is fitted to a multi cylinder engine, which runs at a mean speed of 390 r.p.m. If the…

A: Given data:

Q: Calculate the center of mass acceleration of the cylinder rolling down the inclined plane in the…

Q: 5. Please choose the correct order to solve the Lagrange equation Step 1 Step 2 Step 3 Step 4 Step 5…

A: Solution: The correct order to solve a Lagrange equation is shown below:

Q: What is the moment of inertia of the object about an axis at the left end of the rod? kg-m2 2)…

A: Given: mr=6.86 kgL=5.76 mms=5mr=34.3 kgR=1.44 mL=4RF=463 N To determine: The moment of inertia of…

Q: A torque of 1.45 N-m is applied to a thin rod, fixed to rotate about a point through its center. If…

Q: The mass moment of inertia I of a homogeneous sphere about its diameter is I = (2/5)m R², where m…

A: A moment of inertia is a mass of the body when a body is rotating on an axis. The moment of inertia…

Q: A 50 N force is applied 50 cm from the axis of rotation of a rigid body. The body starts from rest…

Q: Q2) Draw the free-body diagram and derive the equation of motion using Newton s second law of motion…

Q: 2. (a) Use the parallel axis theorem to calculate the inertia tensor for the same thin rectangular…

A: (a) Draw a thin rectangular slab.

Q: For the outlined sphere model of a water molecule consisting of two small spheres with the mass m= 3…

Q: n the figure, the engine of a vehicle is shown as a representation.The crankshaft of the engine…

A: A gyrosopic moment will act on the car which will tend to topple the car over, toward the outside

Q: ndulum if the

Q: Determine the load inertia referred to the motor shaft. (b) Calculate the torque that motor should…

Q: L L Slender rod of mass m FIGURE PS.4

Q: Consider a wheel with four spokes as shown below. The radius of wheel is r = 0.18 m. The mass of the…

A: Draw the diagram of the given wheel and four spokes with their own center of mass. Write the…

Q: angular block of homogeneous density p and dimensions axbxcas shown Find the inertia lensor

A: The given rectangular block can be drawn as : The moment of Inertia matrix is given by IO…

Q: Using a pulley system, a circular object (diameter 4.74cm) is angularly accelerated (with a mass of…

Q: In a new design of the system, the material the rods are made of is changed (and as a result the…

A: Given data: The mass of slender rod AB (m) is 2.8 kg The angle β is 30° The assembly rotates about…

Q: The accelerating torque increases the speed of a flywheel from x rpm to y rpm in 15 seconds. Find 1.…

Q: Consider the system shown at right. Find an equation of motion for the block with mass mj. Assume…

Q: drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum.…

Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A spherical gas tank has an inner radius of r = 1.5m, if it subjected to an internalpressure of p = 300kPa, determine its minimum thickness if the maximum normalstress is not to exceed 12MPa Note: indicate free body diagram.
Amswer plss 1
| RN * ME3 4 o Switch account Determine the area and the centroid (x, y) of the area. 4m . e O (x=2.2m,y=6m) O None of above O (x=1.2m,y=3m) O (x=1.2m,y=4m) O (x=1.0m,y=2m) n Upload the answer 1} 0 ¥
ᴀ ꜱᴛᴇᴇʟ ꜱʜᴀꜰᴛ ɪꜱ ꜱᴜʙᴊᴇᴄᴛᴇᴅ ᴛᴏ ᴀ ʙᴇɴᴅɪɴɢ ᴍᴏᴍᴇɴᴛ 9955 ɪɴ-ʟʙ ᴀɴᴅ ɪꜱ ꜱɪᴍᴜʟᴛᴀɴᴇᴏᴜꜱʟʏ ʟᴏᴀᴅᴇᴅ ᴡɪᴛʜ ᴀ ᴛᴏʀQᴜᴇ ᴏꜰ 29824 ɪɴ-ʟʙ. ɪꜰ ᴛʜᴇ ᴍᴀxɪᴍᴜᴍ ᴘᴇʀᴍɪꜱꜱɪʙʟᴇ ꜱʜᴇᴀʀ ꜱᴛʀᴇꜱꜱ ɪꜱ 3 ᴋꜱɪ, ᴡʜᴀᴛ ᴍɪɴɪᴍᴜᴍ ꜱʜᴀꜰᴛ ᴅɪᴀᴍᴇᴛᴇʀ ɪɴ ɪɴᴄʜᴇꜱ ɪꜱ ɴᴇᴄᴇꜱꜱᴀʀʏ? ʀᴏᴜɴᴅ ʏᴏᴜʀ ᴀɴꜱᴡᴇʀ ᴛᴏ 4 ꜱɪɢɴɪꜰɪᴄᴀɴᴛ ꜰɪɢᴜʀᴇꜱ.
Full solution and free body diagram..
mAqu--u~mdﬂ-awthmAu | le— 40 —>e—i0—s| Fig. 6.24. Determine the centroid of the remaining area (shown hasched).
Using integration, locate the centroid of the area under the n-th order parabola in terms of b, h, and n (n is a positive integer). (b) Check the result of part (a) with Table 8.1 for the case n = 2.
Locate the centroid y¯ of the area. Take b = 9 in , h = 10 in .(Figure 1) Express your answer to three significant figures and include the appropriate units.
P= 72 kn
Determine the Joint Force (FR) and location (xcp and ycp) acting on the 0.8 m high and 0.8 m wide triangular door shown in the figure.
vessel a, at elevation 2.438m, contains water under 103.4 kpa pressure. Vessel B at elevation 3.658 m, contains a liquid under 68.95 kpa pressure. if the deflection of the differential gage is 305 mm of mercury, with the lower level on the A side at elevation 0.305m, determine the specific gravity of the liquid in vessel B. Ans. 0.500
Determine the centroid of the surface shown in the figure below in two ways: The. Using a vertical differential element of dx thickness; B. By double integration The chart should contain all the information necessary to understand the issue