A cord is wrapped around a homogeneous disk of radius r=1m & mass=15 kg. If the cord is pulled upward with a force T of magnitude 180 N, determine : a) Acceleration of the center of disk b) Angular acceleration of the disk c) Acceleration of cord
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![A cord is wrapped around a homogeneous disk of radius r=1m & mass-15 kg. If the
cord is pulled upward with a force T of magnitude 180 N, determine :
a) Acceleration of the center of disk
b) Angular acceleration of the disk
c) Acceleration of cord](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9350ef04-4b4c-4f8a-b8d7-1dc23ab58cf4%2F63f9bb7d-511a-4f0f-83c9-d3dc111c6d80%2Fj2oa3cr_processed.jpeg&w=3840&q=75)
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- ultiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a c dius = 0.157 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.72 nd the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. Units No units - Number .368A solid metal disk with moment of inertia I, radius R, and mass m1 can rotate freely about a frictionless axis passing through its center. A light string is wrapped around the disk and connects to a hanging mass m2. The hanging mass is released from rest at a distance d above the ground and accelerates downward with acceleration awhile the disk rotates through an angle q. a) Draw free body diagrams for the disk and the hanging mass. b) Find an expression for the angular accelerationaof the diskin terms of m2, I, R, and any necessary constants. c) Find an expression for the time it takes for the hanging mass to reach the ground. Write your answer in terms of q, a, and any necessary constants.Intro Physics I, Homework #7 See Walker Ch. 5, 6.1, 6.3, 7.1-7.2, 13.1 Submit to Google Classroom by 10 P.M., Monday, April 4 Remember to show all work and include units In Newton's late 17th century era, there were relatively accurate estimates, from terrestrial and astronomical observations and experiments, of the distance of the Earth to the Sun (dEs = 150 million 1. kilometers) and the circumference of the Earth (Cp = 40,000 kilometers [the meter was later defined during the late 18th century French revolution in relation to the size of the Earth]). Newton further estimated, likely based on the density of rocks, that the Earth was a solid sphere with a density about 6 times the density of water, which has density of pwater = 1 g/cm³.
- Oncies Current Attempt in Progress Multiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a disk (radius= 0.136 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.73 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. Hs = Number i eTextbook and Media GO Tutorial Save for Later 150 Units Attempts: 0 of 5 used Submit Answerii) A uniform sphere made of modeling clay has radius R and moment of inertia I₁ for rotation about a diameter. It is then flattened to a disk with the same radius R. What is the moment of inertia of the disk, Id, in terms of I₁? a. Id=511/4 b Id = 511/2 c. Id = 511 d. Id = 411/5 e. Id = 211/5 f. Id = I1/51) Blocks of mass m1 and m2 are connected by a massless string that pulls over the pulley in the figure. Initially, the system is at rest. The table is frictionless. The pulley is frictionless, but it does have mass Mp and radius R. The moment of inertia of the pulley is Ipulley=2/3MR2 (note that this is DIFFERENT than what we have used in the practice test examples). Consider that at t=0 (initially) m2 is H meters above the ground. In this problem, H=60 cm., R=7 cm., Mpulley=1.8 kg, m1=6 kg, and m2=15 kg. (a)Using those energies from the above table that apply to this question and identifying the ground as the point of "zero height", use "conservation of energy" to find the speed of m2 just as it hits the ground. There are no non-conservative forces outside of the system to consider, so Ef=Ei (the initial state is when the system is at rest and m2 is hanging H meters above the ground, and the final state is when the system is moving (both blocks are moving and the pulley is spinning)…
- Multiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a disk (radius = 0.168 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.57 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. μs = Number Type your answer here Units Choose your answer hereProblem 4 An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall even when the floor is removed. The coefficient of static friction between the person and the wall is us = 0.3 and the radius of the drum is R = 2m. (a) Find wmin, the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed. (hint: when the floor is removed, the person is held up by the static frictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in (a) (cC) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the drum had constant angular acceleration. Find the number of rotations made by the person within this time.18. A car traveling on a flat (unbanked) circular track accelerates uniformly from rest with a tangential acceleration of 1.70-m/s. The car makes it one fourth of the way around the circle before it skids off the track. Determine the coefficient of static friction between the car and the track. Hint: you need to find the total acceleration of the car. Answer: 0.572