The roller is released at time t = 0 and begins to rotate as the thin metal sheet unwinds from the roller. A student observes this situation for a time interval T and records the angular acceleration a of the roller as a function of time. The student determines that the mass of metal remaining on the axle changes by a negligible amount during time interval T. To describe the motion of the roller over time, the student then fits the equation a(t) = At? + B to the data, where A and B are positive constants.
Q: Problem 4: A disk of radius R = 0.5 m has a moment of Inertia I = 0.025 kg m and it is rotating at…
A: Radius of disk (R) = 0.5 m Moment of inertia (I) of disk = 0.025 kg-m2Initial angular velocity (ω) =…
Q: A ring (mass 2 M, radius 2 R) rotates in a CCW direction with an initial angular speed 1 ω. A disk…
A:
Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A: As it is a multiple question, I answer the first question. Please resubmit the…
Q: Multiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is…
A: According to Newton's second law Net force = mass×accelerationFriction force =μN (μ…
Q: Calculate the angular velocity of the rod and mass after the collision.
A: The travelling mass has an angular momentum with respect to the axis of rotation of the rod, thus…
Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A:
Q: are
A:
Q: Is the angular momentum of the block conserved?
A: From conservation of angular momentum, the angular momentum of block remains conserved as long as…
Q: A particle of mass 1.30 kg is moving with velocity = (7.41 +5.6j) m/s. Find the angular momentum L…
A:
Q: Joey, whose mass is 36 kg, stands at the center of a 200 kg merrygo- round that is rotating once…
A: Given mass of Joey m=36 kgmass of merry go round m1=200 kgWhen Joey is all the centerIt is…
Q: 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side, acting…
A:
Q: A child is swinging a 0.300-kg ball on a string. She is swinging it in a circle with an angular…
A:
Q: A metal sphere with a mass of 0.056 kg rolls along a friction-less surface at 3.5 m/s and strikes a…
A: Since the second sphere is at rest initially, its initial momentum is zero. As the first sphere…
Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A:
Q: A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with…
A:
Q: A thin rod of length 2.45 m and mass 14.7 kg is rotated at an angular speed of 3.60 rad/s around an…
A: here L=2.45 m M=14.7 kg w=3.6 rad/s For rod from one end moment of inertia…
Q: Students perform an activity whose purpose is to determine the mass of an object. They spin a disc…
A: Given: Mass of disc, M = 800 g Radius of disc, R = 1 m Initial angular velocity of the disc…
Q: A merry-go-round at an amusement park consists of an outer ring of horses and an inner ring of…
A:
Q: A bob of mass 0.320 kg is attached to one end of a light inextensible string of length 0.600 m,…
A: We are given circular motion of bob. We are given length of string. We first find radius of circle.…
Q: A disk of mass 2.5 kg and radius 75 cm with a small mass of 0.08 kg attached at the edge is rotating…
A: According to law of conservation of angular momentum, the angular momentum of system of particles…
Q: A marble with mass m = 9 g at the end of a massless cord is swinging in a circle of radius R = 1.26…
A:
Q: mable to get to the other me his difficulty, he throw
A: Given: Mass of man is 750 N Mass of textbook is 1.6 kg Radius of frozen pond is 10 m speed is 7 m/s
Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A: Consider the following figure which represents the rod and mass system before and after the…
Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A: Answer: ω= 0.147 rad/s Explaination: m= 5 kg initial angular momentum;…
Q: Ball A is attached to one end of a rigid massless rod, while an identical ball B is attached to the…
A: Step 1:Step 2:Step 3:Step 4:Step 5:
Q: A marble with mass m = 12 g at the end of a massless cord is swaying in a circle of radius R = 1.16…
A: The objective of the question is to find the velocity and centripetal acceleration of a marble…
Q: A 1.8 kg bicycle tire with a radius of 31 cm rotates with an angular speed of 155 rpm. Part A Find…
A:
Q: A person of mass mp is standing at the right end of a cart of mass me and length s. The cart and the…
A: Given, The mass of the person=mp The mass of the cart=m The length=s a. The final speed of the cart…
Q: A solid cylinder of mass m = 1kg, initially at rest, starts to roll down a rough surface inclined at…
A: Given, Mass of the solid cylinder m=1 kg Mass of the square block M=2 kg d=1m angle θ=30°…
Q: 9 of 24 Constan A machinist turns the power on to a grinding wheel, which is at rest at time t=0.00…
A:
Q: A 80 g, 31-cm-long rod hangs vertically on a frictionless, horizontal axle passing through its…
A: Have a look dear
Q: - D- M
A: A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A…
Q: At its lowest setting a centrifuge rotates with an angular speed of ω1 = 350 rad/s. When it is…
A:
Q: B d?
A:
Q: Consider the objects labeled A, B, C, and D shown in the figure. B *1. IA = Each object is composed…
A:
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 8 images
- Consider the system shown below where four point masses are connected to each other by massless rods. Two of the masses are m = 3 kg and the other two have the masses of M = 2 kg. If a = 1.4 m, b = 1.3 m and the system rotates about x-axis, determine the moment of inertia of the system. Express your answer in units of kg. m² using one decimal place. Answer: M a m m b b a M-xCase 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 11.6 seconds to get up to its full speed of f1 = 78 revolutions per minute. Case 2: The DJ then changes the speed of the turntable from f1 = 78 to f2 = 120 revolutions per minute. She notices that the turntable rotates exactly n2= 12 times while accelerating uniformly. a. Calculate the magnitude of the angular acceleration of the turntable (in radians/second2) while increasing to 120 RPM (Case 2). b. How long (in seconds) does it take for the turntable to go from f1 = 78 to f2 = 120 RPM?rod of length L = .9 m and mass mod = .1 kg connects two small balls of mass m = .2 kg each. The rod rotates about its midpoint with an axis perpendicular to the rod. The initial angular velocity is w, = 3 rad/s in the counterclockwise direction. A tangential force F = 9 N is applied to one of the spheres for 2 s causing the system to Rotation accelerate. a. What is the moment of inertia of the rod and ball m system? b. What is the torque acting on the system? Magnitude and direction? c. What is the angular acceleration of the system? d. What is the final angular velocity of the rod? e. What is the final speed v of one of the masses?
- A child's top is held in place upright on a frictionless surface. The axle has a radius of r 3.21 mm. Two strings are wrapped around the axle, and the top is set spinning by T T applying T = 2.40 N of constant tension to each string. If it takes 0.590 s for the string to unwind, how much angular 2r momentum L does the top acquire? Assume that the strings do not slip as the tension is applied. R SP 9.15 x10¬3 kg-m² L = S Point P is located on the outer surface of the top, a distance h = 35.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 24.0°. If the final tangential speed v, of point P is 1.45 m/s, what is the top's moment of inertia I? T 2r T 2.42 x10-4 kg-m? = IncorrectA block of mass m = 3.10 kg is hanging from a massless cord that is wrapped around a pulley (mass 5.00 kg) as shown in the figure. The cord does not slip relative to the pulley as the block falls. Find the magnitude of the tension in the cord. (moment of inertia of the pulley = V½Mr2) %3D NA student places a coin on a flat disk. The flat disk is allowed to rotate around an axis through its center. The angular velocity of the flat disk gradually increases. The coin initially rotates with the disk but eventually slides off the disk. Which of the following is the best explanation for the coin's behavior? The kinetic friction was no longer large enough to provide the necessary angular acceleration The kinetic friction was no longer large enough to provide the necessary centripetal acceleration The static friction was no longer large enough to provide the necessary angular acceleration The static friction was no longer large enough to provide the necessary centripetal acceleration