Consider a disk of radius R = 0.2 m, mass of mg = 20 kg, and moment of inertia of IG= 0.40 kg-m² mounted on a ball bearing joint at point G. The disk has a a cord wrapped around its perimeter. A cylinder of mass mg = 6 kg hangs from the other end of the cord and is moving at VB (t₁) 2 m/s downward at the instant shown (time t₁). Three seconds later, at time t2, what is the tension T and the velocity of the cylinder? (Hint: Use linear momentum-impulse applied to the cylinder and angular momentum-impulse applied to the disk. Evaluating with the data given T = 36.78 N and VB (t₂) = - 13.036 m/s.)

Consider a disk of radius R = 0.2 m, mass of mg = 20 kg, and moment of inertia of IG= 0.40 kg-m² mounted on a ball bearing joint at point G. The disk has a a cord wrapped around its perimeter. A cylinder of mass mg = 6 kg hangs from the other end of the cord and is moving at VB (t₁) 2 m/s downward at the instant shown (time t₁). Three seconds later, at time t2, what is the tension T and the velocity of the cylinder? (Hint: Use linear momentum-impulse applied to the cylinder and angular momentum-impulse applied to the disk. Evaluating with the data given T = 36.78 N and VB (t₂) = - 13.036 m/s.)

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: The circular concrete culvert rolls with an angular velocity of w = 0.58 rad/s when the man is at…

A: In this problem we will use the moment equation and the relative acceleration approach.

Q: Determine the new angular velocity.

A: Moment of inertia about man's center of mass Moment of inertia about woman's center of mass Mass of…

Q: In the system shown, the mass at A is 10 kg and that at B is 5 kg. The mass-moment of inertia of the…

Q: A disk, mass 2kg, radius 0.5m spins at a constant angular speed w = 12s¹ about an axle that is at an…

Q: A 7.5 kg disk A radius of 0.6 m initially rotating clockwise at 300 rev/min is engaged with an 8.5…

Q: A uniform rod AB of length L=900mm and mass m=4kg is suspended from a hinge at C. The distance from…

Q: Arm BC has a mass of 14 kg, and the moment of intertia about its center of mass is 2 kg m². Point B…

A: According to the given information we have an arm BC mass of 14 kg, and the moment of inertia about…

Q: 2 An object is made of two identical uniform 3m long rods connected as shown. The total mass of the…

Q: A homogeneous disk of mass m = 7 kg rotates at the constant rate w₁ = 12 rad/s with respect to arm…

Q: 3. An individual does leg curl exercise to strengthen his hamstring muscles. The 3 kg load is…

A: The location of point mass from knee joint is The location of center of mass of leg from knnee joint…

Q: Model the arm ABC as a single rigid body. Its mass is 320 kg, and the moment of inertia about its…

A: The mass of the rigid body is M=320 kg. The moment of inertia about the center of mass of I=390…

Q: m A hollow wheel of mass given by m = 50 kg rolls down an incline of 30° without slipping. The inner…

A: Given-Information:To-Determine:a. Moment of inertia.b. Linear acceleration of the wheel's center of…

Q: Two identical uniform slender rods with length 2.2 m and mass 3 kg are pin-connected at A. One of…

A: Given:The length of each rod, The mass of each rod, The angle made by the rod OA with horizontal,

Q: At the instant shown, the uniform slender rod with mass m = 33 kg is pin-supported at point O. It…

Q: The object consists of an 8 lb thin bar welded to a 12 lb disk. It is released from rest at…

A: The weight of disc is The weight of bar is The radius of disc is The length of bar is

Q: 1372. The unbalanced wheel shown in Fig. P-1372 weighe 322 Ib and hasa mas radius of Kyration of…

Concept explainers

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.

Question

100%

Consider a disk of radius R = 0.2 m, mass of mc = 20 kg, and moment of inertia of IG= 0.40
kg-m² mounted on a ball bearing joint at point G. The disk has a a cord wrapped around its
perimeter. A cylinder of mass mg = 6 kg hangs from the other end of the cord and is moving at
VB (t₁) = 2 m/s downward at the instant shown (time t₁). Three seconds later, at time t2, what is
the tension T and the velocity of the cylinder? (Hint: Use linear momentum-impulse applied to the
cylinder and angular momentum-impulse applied to the disk. Evaluating with the data given T = 36.78
N and vB (t2) = -13.036 m/s.)
DISK
motion
VB (t₁)
↓2
R
70
G
Jllllls
MG,
+
A
-
B
IG
cord
Cylinder
тв

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: Write the given data and what is to find

VIEW

Step 2: Draw the free body diagram of the cylinder:

VIEW

Step 3: Consider the disk and write the equation of motion:

VIEW

Step 4: Consider the cylinder and write the equation of motion:

VIEW

Step 5: Solve equation (1) and equation (2):

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 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 satellite's orientation can be controleld using a flywheel placed inside the satellite and fixed to it. the satellite's moment of inertia around the relevant axis of rotation is 3.0 kgm^2. the flywheel is a disk with a mass of 500g and a radiuc of 5cm. how many revolutions must the flywheel undertake in order to change the orientation of the satellite by 90 degrees .
o disks A and B, of mass-moments of inertia I = 3 kg.m and I 5 kg.m2, are connected by a belt as own. Assuming no slipping between the belt and the disks, determine the moment M needed on disk A so at its angular acceleration is a = %3D 5 rad/s 0.3 m 0.2 m
ANSWER= 3.621790, -9.99745
The 150-kg wheel shown in Fig. In the initial position shown, the velocity of Gis 2 m/s down the plane, and the spring is stretched 150 mm. If the spring modulus is 1000 N/m, what will be the maximum stretch of the spring? has a radius of gyration of 360 mm with respect to its center of mass G. www 150 kg 30°
Rod OA rotates counterclockwise at a constant angular rate 0-4 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r= (1.6 cos 6) m. Both collars have a mass of 0.65 kg. Motion is in the vertical plane. (Figure 1) Figure r=1.6 cos 9. 0-4 rad/s 0.8 m 1 of 1 Part A Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant 0=45 Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) F= Value Submit μÁ Part B Previous Answers Units X Incorrect; Try Again; 5 attempts remaining Determine the magnitude of the force that OA exerts on the other colar at the instant @-45. Express your answer to three significant figures and include the appropriate units. View Available Hint(s)
The centroidal mass moment of inertia ofthe pulley assembly is 20 ft-lb-s2. Determine (a) the tension in the cordsupporting 161-lb block , (b)the tension supporting the 322-lb block, and (c) the angularacceleration of the pulley system .Hint: Determine first the direction ofmotion, i.e. will block A move up ordown?
A uniform rod of mass M = 2.3 kg and length L = 0.2 m, lying on a frictionless horizontal plane, is free to pivot about a vertical axis through one end, as shown. The moment of inertia of the rod about this axis is given by 1/3 ML2. If a force F = 7 N, q = 47° acts as shown, what is the resulting angular acceleration (in rad/s2) about the pivot point?
A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)