A thin plank of mass M is placed centrally across two solid cylindrical rollers each of mass m, and the system is allowed to move freely from rest without slip down a slope of angle as shown in the figure below. (a) Derive expressions for the initial accelerations of the plank and the roller. Your solution should include the following in a systematic way: (iii) statements of relevant kinematic and kinetic relationships with reference to your chosen global axes system in (ii), and (iv) clear, logical, and systematic manipulations of the relationships you have stated in (iii) above to arrive at the desired results. 1

A thin plank of mass M is placed centrally across two solid cylindrical rollers each of mass m, and the system is allowed to move freely from rest without slip down a slope of angle as shown in the figure below. (a) Derive expressions for the initial accelerations of the plank and the roller. Your solution should include the following in a systematic way: (iii) statements of relevant kinematic and kinetic relationships with reference to your chosen global axes system in (ii), and (iv) clear, logical, and systematic manipulations of the relationships you have stated in (iii) above to arrive at the desired results. 1

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: TA Problem 2: The electric motor at A drives a flywheel C, which is integrated with a pulley D as…

Q: Question C3. Assume you are working in a design team and responsible to design a safe bearing…

Q: Disk BG rolls without slip on a horizontal surface. Slider A slides in a horizontal track. Bar AB is…

A: As per the guidelines, I can solve only three sub-parts at a time. For rest parts, repost in…

Q: A power shaft running at a steady speed of 175 rev/min drives a counter- shaft through a…

Q: Free body diagram required. Solve with handwritten format,no Chatgpt.

A: Step 1:Given:The mass of the steel drum: M=50kgThe diameter of the drum: d=1.5mThe radius of…

Q: Ө + + XXXXX

A: Given : The free Body diagram is,

Q: ₁ mm [₁ mm A WCD D B e cylinder A is rotating with an angular velocity of 4 rad.s-1, determine the…

Q: A thin plank of mass M is placed centrally across two solid cylindrical rollers each of mass m, and…

A: Given:The mass of thin plank is .The mass of roller is .The slope of angle is .Concept used:Use…

Q: Assuming motion initiates with pure rolling, write down the appropriate kinematic and kinetic…

A: Step 1: Step 2: Step 3: Step 4:

Q: (5) The uniform slender rod (mass m and length L) is pinned to the center of the uniform disk (mass…

Q: The extremities of a 4-ft rod weighing 50lb (1.5528slugs) can move freely and with no friction along…

A: Given Data:Length of the rod (l) = 4 ftWeight of the rod (W) = 50 lbAngle ϕ=45∘Unknowns to Be…

Q: A flywheel of mass 125kg and radius of gyration 150mm is accelerated from rest to a speed of 1180…

Q: Flywheels A and B are mounted on light coaxial shafts which can be coupled by means of the clutch C,…

A: Given; IA=0.6 kgm2ωA1=3410 rev/minωB=800 rev/minω=1750 rev/min

Q: A hollow sphere approaches an incline of angle 30 degrees above the horizontal, and you measure the…

A: We have to solve above question Which of the following best describes the initial center-of-mass…

Q: A thin plank of mass M is placed centrally across two solid cylindrical rollers each of mass m, and…

Q: plank laced cent across two solid cylindrical rollers each of mass m, and the system is allowed to…

A: Mass of the plate - M two cylindrical roller mass - m slope angle - θ For rotation around the…

Q: You are tossing the baton up into the air while it is turning, resulting in a motion that is…

A: Given:

Question

A thin plank of mass M is placed centrally across two solid cylindrical rollers each
of mass m, and the system is allowed to move freely from rest without slip down a
slope of angle as shown in the figure below.
(a) Derive expressions for the initial accelerations of the plank and the roller.
Your solution should include the following in a systematic way:
(iii) statements of relevant kinematic and kinetic relationships with
reference to your chosen global axes system in (ii), and
(iv) clear, logical, and systematic manipulations of the relationships
you have stated in (iii) above to arrive at the desired results.
0
+
+
ZTTX
1

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: Given details

VIEW

Step 2: Part i)

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 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 string is wrapped around a uniform disk of mass M = 2.1 kg and radius R = 0.12 m. (Recall that the moment of inertia of a uniform disk is (1/2) MR².) Attached to the disk are four low-mass rods of radius b = 0.16 m, each with a small mass m = 0.7 kg at the end. The device is initially at rest on a nearly frictionless surface. Then you pull the string with a constant force F = 30 N. At the instant when the center of the disk has moved a distance d = 0.041 m, a length w = 0.033 m of string has unwound off the disk. •m bi m m Part 1 M, R Part 2 d V= 0.708548386 Your answer is correct. Part 3 m (a) At this instant, what is the speed of the center of the apparatus? @01 = i 5.08017 Save for Later F Your answer is incorrect. (b) At this instant, what is the angular speed of the apparatus? 002 = i w+d Save for Later m/s eTextbook and Media F radians/s (c) You keep pulling with constant force 30 N for an additional 0.042 s. Now what is the angular speed of the apparatus? radians/s Attempts: 1…
Question A thin plank of mass M is placed centrally across two solid cylindrical rollers each of mass m, and the system is allowed to move freely from rest without slip down slope of angle 9 as shown in the figure below. (a) Derive expressions for the initial accelerations of the plank and the roller. Your solution should include the following in a systematic way: (i) Identification of the types of ensuing motions of the plank and the rollers, (ii) free-body, kinematic and kinetic diagrams with an appropriate global axes system clearly shown, (iii) statements of relevant kinematic and kinetic relationships with reference to your chosen global axes system in (ii), and +
Jdj
Derive expressions for the initial accelerations of the plank and the roller. Your solution should include the following in a systematic way: Statements of relevant kinematic and kinetic relationships with reference to your chosen global axes system
Example 14 The uniform circular disk has a mass of 7.6 kg and a radius of 0.6m The disk is suspended from a pin at A and can rotate freely about A. The pin is connected to a horizontal plate on smail wheels. At the instant t = 0 a force is applied to the plate (which is initially at rest), so that it accelerates at a 1.5 m/s² (towards the right). Now calculate the horizontal and vertical components of the reaction at A and the magnitude of angular acceleration of the plate at the instant t = Os. A2 2009 Question 6 G ANSWER: Ax= 3.8 N A₂ = 74.6 N a = 1.67 rad/s²
Mechanical engineering. Handwritten solution required with FBD