A solid, uniform disc of mass \( M \) and radius \( R \) is able to rotate without friction in the vertical plane about a horizontal axis through its center. Two small but heavy point particles of mass \( m_1 \) and \( m_2 \), where \( m_1 > m_2 \), are fixed to the disc at the very edge on each side. If the disc is allowed to rotate freely, what is the angular acceleration \( \alpha \) at the moment it is released from this position? Be sure to include the direction. For your representation, indicate on the image the forces and torques acting on this system. Hint: How many different moments of inertia do you need to consider? The image depicts a simple diagram of a circular system. Here's the transcription and explanation:### Diagram Description- **Circle**: A circle labeled as having a center marked with an "X" and a radius represented by the line segment extending from the center to the perimeter.- **Radius**: Labeled as "R".- **Masses**: - Two small black circles on the perimeter are labeled as "m₁" (top) and "m₂" (bottom).- **Distance Between Masses and Center**: The line segment from the center "X" to the perimeter at mass "M" is also marked.### ExplanationThis diagram might be used to illustrate concepts in physics or mechanics, such as rotational dynamics, where the circle could represent a rotating system, and the masses could be point masses attached to it. The radius "R" indicates the distance from the center of rotation to the location of the mass on the circle's edge.

If 'F' is the force, and 'r' is the distance of separation of the point from the axis, then the…

A solid, uniform disc of mass M and radius R is able to rotate without friction in the vertical plane about a horizontal axis through its center. Two small but heavy point particles of mass m1 and m2, where m¡ > m2, are fixed to the disc at the very edge on each side. If the disc is allowed to rotate freely, what is the angular acceleration a at the moment it is released from this position? Be sure to include the direction. For your representation, indicate on the image the forces and torques acting on this system. Hint: How many different moments of inertia do you need to consider?

A solid, uniform disc of mass M and radius R is able to rotate without friction in the vertical plane about a horizontal axis through its center. Two small but heavy point particles of mass m1 and m2, where m¡ > m2, are fixed to the disc at the very edge on each side. If the disc is allowed to rotate freely, what is the angular acceleration a at the moment it is released from this position? Be sure to include the direction. For your representation, indicate on the image the forces and torques acting on this system. Hint: How many different moments of inertia do you need to consider?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Three identical point masses of mass M are fixed at the corners of an equilateral triangle of sides…

A: Solution: To Determine an expression for the moment of inertia of the masses about Axis E in terms…

Q: A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A…

Q: Wi In frame A above, the student spins slowly with his arms outstretched. As he pulls his arms…

A: Angular momentum is conserved because net torque is very small. Rotational kinetic energy increases…

Q: A conical pendulum consists of a plumb bob of mass m moving in a circular path in a horizontal…

A: Let us draw the schematic diagram of the setup.

Q: Consider

A: Gravitational foece = F = mg (down ward )The object is at (-d,0,0)

Q: Find the net torque on the wheel in the figure below about the axle through O perpendicular to the…

A: Step 1: Step 2: Step 3: your positive rating motivates us for solving more of your doubts, thank you…

Q: A machine part has the shape of a solid uniform sphere of mass 255 g and diameter 2.50 cm . It is…

Q: O A. MR O B. MR2 O C. 6MR? O D. MR А В. 19 2

A: we have to determine the moment of inertia of these individual discs and then make a single axis of…

Q: Find the expression for the moment of inertia of a uniform, solid disk of mass M and radius R,…

A: Given that we have a uniform disc The mass of the disc =m Radius of disc =r We have calculate the…

Q: A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with…

Q: 1. A ball of mass m, radius r, and moment of inertia I = ?mr² rolls down a movable wedge of mass M.…

A: The situation is as modelled below, The kinetic energy of ball is due to linear motion and…

Q: The pipe assembly is subjected to the force of F = (700 i + 750 j- 600 k} N. (Figure 1) Figure < 1…

A: Given: The pipe assembly subjected to the force is F→ = 700 i^ + 750 j^ - 600 k^ N The position…

Q: Wi MU R/2 before Figure 3: 3 after Question 5. A solid cylindrical disc of mass M=6.0 kg and radius…

Q: You are looking down on a disc that is spinning counterclockwise in the xy plane (positive z points…

Q: jxi=-k_This The convention is to choose the direction of +z so that ?Xj=kv which automatically means…

A: Given values: Force, F→=(7i^+9i^) N Displacement, r→=(0.8i^+1.2i^) m Torque, 𝞃→ = r→×F→

Q: Small bodies of mass m, and m, are attached to opposite ends of a thin rigid rod of length L and…

Q: Part A = The integral with respect to time of a force applied to an object is a measure called…

A: The problem is asking us to find the final momentum of the t-shirt launched by the t-shirt launcher.…

Q: A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A…

A: Given: Mass of the putty ball, mp=mMass of the rod, mr=MVelocity of the ball, vb=vLength of the rod,…

Q: Two 3.90 kg balls are attached to the ends of a thin rod of length 29.0 cm and negligible mass. The…

A: L=29.0 cmM=3.90 kgm=38.0 g=0.038 kgu=1.18 m/s

Q: A bullet of mass m and initial speed v strikes and is imbedded in the end of a stick of mass 2m and…

A: Initial angular momentum Li of the system is given as, Li=mvd2 Here, v is the initial velocity of…

Q: 8 lb 12" @o 20" 4 lb I i I I 23" 6 lb

A: The velocity just before the time when the plug just before the engagement can be found out by…

Q: As shown in the figure below, two blocks are connected by a string of negligible mass passing over a…

A: It is given that,The radius of the pulley is r=0.350 m.The magnitude of the acceleration is a= 1.80…

Q: At a certain instant, the particle of mass m has the position and velocity shown in the figure, and…

A: Given Data: m = 1.9 kg , F = F j^ where F = 190 N v= v k^ where v =3.6 m/s r = ai^+bj^+ck^ where…

Q: 1. 2. The figure shows multiple solid disks with uniform mass distribution that are spinning about…

A: Solution:Given:(1)m = mass of each diskr1 = radius of disk 1r2 = radius of disk 2r3 = radius of disk…

Q: rticle movi edge uniform solid cylinder. The cylinder is free to rotate about the axis through its…

Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

100%

A solid, uniform disc of mass \( M \) and radius \( R \) is able to rotate without friction in the vertical plane about a horizontal axis through its center. Two small but heavy point particles of mass \( m_1 \) and \( m_2 \), where \( m_1 > m_2 \), are fixed to the disc at the very edge on each side. If the disc is allowed to rotate freely, what is the angular acceleration \( \alpha \) at the moment it is released from this position? Be sure to include the direction. For your representation, indicate on the image the forces and torques acting on this system. Hint: How many different moments of inertia do you need to consider?

The image depicts a simple diagram of a circular system. Here's the transcription and explanation:

### Diagram Description

- **Circle**: A circle labeled as having a center marked with an "X" and a radius represented by the line segment extending from the center to the perimeter.
- **Radius**: Labeled as "R".
- **Masses**:
- Two small black circles on the perimeter are labeled as "m₁" (top) and "m₂" (bottom).
- **Distance Between Masses and Center**: The line segment from the center "X" to the perimeter at mass "M" is also marked.

### Explanation

This diagram might be used to illustrate concepts in physics or mechanics, such as rotational dynamics, where the circle could represent a rotating system, and the masses could be point masses attached to it. The radius "R" indicates the distance from the center of rotation to the location of the mass on the circle's edge.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

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, physics and related others by exploring similar questions and additional content below.

Similar questions

Consider the figure above consisting of three particles of mass m attached to a massless rod. Given an axis of rotation through point P, the rod rotates as shown in the figure. If the rod is released from rest in the horizontal position at t = 0. What is the angular acceleration of the system (rod and three particles) immediately after being released? Let d = 2.00 m.
Can you show me how to solve this?
Please answer correctly
A sphere of mass 1.0 kg and radius 0.21 m is suspended on the rod of length 0.49 m and mass 0.43 kg as it is shown in the figure. System can rotate around uppermost point. A bullet of mass 0.02 kg strikes the sphere as it shown in the figure (aiming directly to the center of the sphere) and embeds. Find minimum velocity of bullet which allows this system to just clear the top. The answer is 300.719752599215. Please show all steps on how to get to that answer.
A vertical rectangular object of uniform mass M = 7 kg has sides a = 0, 26 m and b = 0,58 m. It is pivoted from point O as shown in the figure below. If a constant force of F = 109 N along the diagonal is applied as shown below, determine the angular acceleration of the rectangle in SI units at the instant shown. Express your answer using one decimal place. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer. Hint 1: The moment of inertia of a uniform disk about an axis of rotation passing through the center of mass (CM) is ICM = 1½M(a²+b²). Hint 2: Don't forget the force of gravity!!! Take g = 9.80 m/s². a CM 0 b F
Beam 1 with block 2 hanging from it is supported as shown. The mass of block 2 is m2=150 kg, theta=55∘, and x=7 m. You choose the lower left end of the beam as the axis of rotation, and you call clockwise the positive torque direction. Calculate the torque due to the weight of block 2 on the block+beam system.
Please refernece attachment. See image for more information.
The system is made up of the 1-m, 7.1-kg uniform rod AB and the two uniform disks (each of 0.17 m radius and 1.9 kg mass). If the system is released from rest when = 63°, determine the total external work done to this system when rod AB has just become horizontal. Assume the disks roll without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Take g = 9.81 m/s². B m Ө Your Answer: Answer units B
Consider the figure above consisting of three particles of mass m attached to a massless rod. Given an axis of rotation through point P, the rod rotates as shown in the figure. If the rod is released from rest in the horizontal position at t = 0. What is the angular acceleration of the system (rod and three particles) immediately after being released? Let d = 2.50 m.