A metal hoop, also modeled as a thin hollow cylinder, with ar r=6 inches is released from rest on the 20° incline. The metal slips as it rolls. The coefficient of kinetic friction is 0.12. a) Draw the FBD and KD b) Determine the angular acceleration of the hoop c) With constant acceleration, determine the time "t" for the to move a distance of 10 ft. down the incline.

A metal hoop, also modeled as a thin hollow cylinder, with ar r=6 inches is released from rest on the 20° incline. The metal slips as it rolls. The coefficient of kinetic friction is 0.12. a) Draw the FBD and KD b) Determine the angular acceleration of the hoop c) With constant acceleration, determine the time "t" for the to move a distance of 10 ft. down the incline.

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 disk shown starts from rest and is given an angular acceleration of a = 2t2, where t is in…

Q: 2 The rope attached to the rod with a mass of 15 kg in the figure suddenly breaks and the balance is…

Q: A flywheel starts rotating from rest and is given an acceleration of 2 rad/s2 (i) Find the angular…

A: given data;angular acceleration (α1)=2rad/s2

Q: Handwritten,no gpt.

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

Q: с d A r B You were able to obtain a roll of toilet paper during quarantine and put it to good use.…

Q: 1. Part of a symmetrical rolling machine can be modeled as shown below. Find the velocities of…

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: Given is Load needs to be raised by h = 22 ft =…

Q: a) Determine which rigid body experiences complex motion b) Locate the instant center for that rigid…

Q: PROBLEM 4.2 A horizontal platform 8 m in diameter revolves so that a point on its rim moves 6.3776…

Q: The rod AC can move frictionlessly through the sleeve B. The sleeve C travels frictionlessly along…

A: Since the horizontal velocity vc remains constant, the acceleration of the system becomes zero.…

Q: A cart (20kg) is supported by 2 wheels (15kg each) on a 30degree incline The wheels have a…

A: Since we are neglecting friction, we will consider rolling without slipping without frictional…

Q: FIGURE BELOW shows the car having a mass of 1.40 Mg and a center of mass at Gc pulls a loaded…

Q: Conservation of Energy Theorem A wheel is rotated without slipping. The mass of the wheel is m-3kg,…

Q: Problem 3 (33) When the roller coaster is at point B as shown in the figure below it has a speed of…

Q: A) In terms of the mass of the block m, spring constant k, radius of the loop, R, and the…

A: Given Data: To Find: (a) The minimum compression distance of the spring.

Q: 5,The slider p can be moved inward by means of the string S as the bar oA totates about the pivot o.…

A: Given the position vectors and angular position. Required: velocity and acceleration and their…

Q: machine with a mass of 500 kg is being lifted from the ground up a building using a set of pulleys…

A: Given, A machine with a mass of 500 kg is being lifted from the ground up a building using a set of…

Q: An electric motor has a rotor with a mass moment of inertia of 22 ft-lb-s2. What torque is required…

A: The objective of this question is to calculate the torque required to accelerate a rotor from rest…

Q: A 150 lb wrecking ball B is attached to a 50-ft-long steel cable AB and swings in the vertical arc…

A: Given : The lenght of string is The mass of ball is The velocity at point D is The Free body diagram…

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

A metal hoop, also modeled as a thin hollow cylinder, with a radius
r=6 inches is released from rest on the 20° incline. The metal hoop
slips as it rolls. The coefficient of kinetic friction is 0.12.
a) Draw the FBD and KD
b) Determine the angular acceleration of the hoop
c) With constant acceleration, determine the time "t" for the hoop
to move a distance of 10 ft. down the incline.
HA = 0.12
20

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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Can you help me with solution please?
A rope of length L = 2.4 m and mass m = 3.9 kg is initially at rest and can slide on an inclined surface with incline 0 = 25° as shown in the figure. Assume that the part of the rope that is not on the inclined surface hangs down vertically at all times and that the static friction coefficient between the rope and the surface is μ = 0.54. 0/
A solid sphere starts from rest at a height of 2.5 meters. rolls down a ramp without slipping, so no friction. The mass of the sphere is 2 kg. It The radius of the sphere is 0.02 m The moment of Inertia of a sphere is: I = (2/5)mr² ) Compute the change in gravitational potential energy when the ball rolls from the top to the bottom of the ramp. Use conservation of energy to compute the angular velocity, oo, in radians/s and the linear velocity in m/s at the end of the ramp. h1
The rotation axis of the uniform cylinder is constrained by a frictionless slot. The cylinder is at rest when it is lowered onto the conveyor belt, which has a constant translational velocity of 20.0 ft/s. The coefficient of friction between the belt and the cylinder is 0.400.a) Calculate the maximum angular velocity of the cylinder.b) The distance traveled by the belt during the time the cylinder is accelerating to its maximum angular velocity
Circle final answer with the correct units unit should be rad/s
8. 2) Rods AB and BC are linked at Band have weights of 18 lb and 37 lb, respectively. The 8-lb collar C, which is connected to BC and the spring, slides freely along the smooth vertical guide. The lengths of the rods are 4 = 1.4 ft and 2 = 2.9 ft. If the system is released from rest when 0 = 0°, determine the magnitude of the angular velocity (in rad/s) of rod BC when 0 = 90°. The attached spring has spring constant k = 20 Ib/ft, and is unstretched when 0 = 0°. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g= 32.2 ft/s2. k CO Your Answer: Answer
A simple friction drive consists of two disks A and B. Initially, disk B has a clockwise angular velocity of 590 rpm, and disk A is at rest. Disk B is known to stop in 69 seconds, decelerating constantly. However, instead of waiting for both disks to be at rest before bringing them into contact, disk A is given a constant angular acceleration of 3.5 rad/s2 counterclockwise. a) Determine the time, in seconds, in which both disks can be brought into contact without slipping. A 2.5 in. Fuente: Beer, 11th Ed. B 3 in. b) Determine the angular velocity of disk A, in rpm, when contact is made without slipping. c) Determine the angular velocity of disk B, in rpm, when contact is made without slipping.
A pulley and two loads are connected by inextensible cords as shown in Figure 1. Load A has constant acceleration of 2.5m/s2 and an inital velocity of 2 m/s2, both directed upwards. Determine: a) the number of revolutions executed by the pulley in 3s. b) the velocity of load B after 3s. c) if the velocity of load B should be half of the velocity of load A, suggest the new diameter of the inner and outer pulley.
The uniform rod of mass M and length L rotates in the plane of the figure about an axis through one end. As the rod swings through its lowest position, it collides with a putty wad of mass m, that sticks to the end of the rod. If the rod's angular speed just before collision is w, a) what is the angular speed of the rod-putty system immediately after collision? Rotation axis Rod b) What is the change in the kinetic energy of the rod-potty system (immediately before to immediately after the collision)? Does the kinetic energy increases, decreases, or remains the same? Provide your answers symbolically.
The cylinder is uniform and has a mass of 5.00 kg. It is released from rest.a) Calculate the least coefficient of friction between the cylinder and the plane for which the cylinder will roll without slipping.b) Calculate the acceleration of the center of mass G of the cylinder if it rolls without slipping.
!
HW3. Due date: Mid night of 4 March 2021 Q1) The concrete pier P is being lowered by the pulley and cable arrangement shown. If points A and B have velocities of 0.4 m/s and 0.2 m/s, respectively, compute the velocity of P, the velocity of point C for the instant represented, and the angular velocity of the pulley. 100 mm 200 mm Q2) The slotted arm pivots about O and maintains the relation between the motions of sliders A and B and their control rods. Each small pivoted block is pinned to its respective slider and is constrained to slide in its rotating slot. Show that the displacement x is proportional to the reciprocal of y. Then estab- lish the relation between the velocities va and vg- Also, if va is constant for a short interval of motion, determine the acceleration of B. Q3) 16-45. Determine the velocity of rod R for any angle 0 of the cam C if the cam rotates with a constant angular velocity w. The pin connection at O does not cause an interference with the motion of A on C.