A ball of mass m, =5.7 kg and a block of mass m, =3.1 kg are connected with a lightweight string over a pulley with moment of inertia I and radius R=0.25m. The coefficient of kinetic friction between the table top and the block of mass m, is uy = 0.5. If the magnitude of the acceleration is a=3.0 m/s2. a)What are the tensions T, and T, in the string. N T2= N b)Calculate the moment of inertia of the pulley. I= kg m2 c) What is the change of the kinetic energy of the system if the system is released from rest and the ball decends a distance h=5.4 m downward. ΔΚ -

A ball of mass m, =5.7 kg and a block of mass m, =3.1 kg are connected with a lightweight string over a pulley with moment of inertia I and radius R=0.25m. The coefficient of kinetic friction between the table top and the block of mass m, is uy = 0.5. If the magnitude of the acceleration is a=3.0 m/s2. a)What are the tensions T, and T, in the string. N T2= N b)Calculate the moment of inertia of the pulley. I= kg m2 c) What is the change of the kinetic energy of the system if the system is released from rest and the ball decends a distance h=5.4 m downward. ΔΚ -

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: d) What is the smallest speed v for which the person will not slide down the wall? Solve this…

Q: m2 n the figure, the pulley has a frictionless axle. It has two grooves for the cord to wrap around:…

A: Given: r1=50 cmr2=20 cmM1=8 kgM2=13 kg The moment of inertia of the pulley is 0.62 kg.m2.

Q: ff the track. From these data, determine the coefficient of static friction between the car and…

A: Circumference of circle is given by d=0.25(2πr)....(1) Using Newtons second law Centripetal…

Q: A skateboarder is attempting to make a circular arc of radius r = 19 m in a parking lot. The total…

A: Draw the free-body diagram of the skateboard. The diagram consists of the radial force only since…

Q: A skateboarder is attempting to make a circular arc of radius r = 14 m in a parking lot. The total…

Q: A potter's wheel-a thick stone disk of radius 0.500 m and mass 125 kg-is freely rotating at 50.0…

A: THe moment of inertia of the disk is,I=12mR2 m=125…

Q: A pulley (in the form of a uniform disk) with mass Mp and radius Rp is attached to the ceiling in a…

Q: A carnival ride tests your courage by putting you in a situation that would appear dangerous. A…

A: Given information: The mass of the person (m) = 75.3 kg The radius of the tube (r) = 4.1 m The…

Q: “I wonder what the scale of this Mario Kart level is,” your friend says as you pass them, taking the…

A: The frictional force is, Ffr=μmgcosθ=0.775 kg9.8 m/s2cos35°=421.5 N According to newton's second…

Q: A massless cord passing over a frictionless pulley of mass 15.0 kg and radius 55 cm connects two…

A: Given, mass of pulley, M = 15kg radius of pulley, r = 55cm mass of blocks, m1=110 kgm2=35 kg the…

Q: A uniform spool is suspended from a vertical wall by a string attached to the spool’s thin axle. The…

A: Given data The Tension in the string is given as T = 2.6 N. The free-body diagram is drawn as,

Q: In an amusement park ride, a person with mass 70 kg stands against the wall of a cylindrical room…

Q: The figure below shows a uniform disk, with mass M = 4 kg and radius R = 0.2 m, mounted on a fixed…

Q: A child stands on a playground merry-go-round a distance of 1.50m from the rotation axis. The…

Q: A particle of dust lands 41.4 mm from the center of a compact disc (CD) that is 120 mmin diameter.…

Q: A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 39 kg box as shown…

A: Given: The mass of the box is 39 kg. The outer radius is 0.37 m. The radius of the hub is 0.17 m.…

Q: A skate park is formed by two semicircles of radius R1 = 8.3 m and R2 = 1.0 m and a flat central…

A: Given R1 = 8.3 m R2 = 1.0 m length of flat part = L = 3.6 m. The semicircles are tangent to the…

Q: A B Block A with mass ma rests on a horizontal tabletop, while block B with mass mB hangs from a…

Q: 6.25 g quarter sits 25 cm from the axis of rotation on a turntable that has a period of rotation of…

Q: Hi I am in physics I. Here is the description. A sphere has a mass of 8200 kg and a radius of 90 cm…

A: Given:Mass of sphere = 8200 kgRadius of sphere = 90 cm = .9 mForce applied = 70 N

Q: 250 kg concrete wheel with a radius of 1.50 m is being pulled up a hill by a 725 kg cow, with a rope…

A: The gravitational force on the concrete wheel and the cow will act vertically downwards. F=mg This…

Q: A skateboarder is attempting to make a circular arc of radius r=15 m in a parking lot. The total…

A: radius of arc (r) = 15 m Total mass (m) = 99 kg coefficient of static friction = 0.58coefficient of…

Q: A point mass of 0.33 kg is fixed to the end of a 1.23 m long string that is fixed at the other end.…

Q: In the figure below, block 2 of mass m2 = 3.75 kg rests on a frictionless surface. It is attached to…

Q: A skateboarder is attempting to make a circular arc of radius r = 19 m in a parking lot. The total…

A: mass = 95 kg coefficient of static friction = 0.66 radius (r) = 19 m

Q: 9. A mass m, = 9.50 kg is connected by a light string that passes over a pulley of mass M = 11.5 kg…

Q: A 65 kg student is in a car traveling at 25 m/s on a hill of radius 110 m. When the car is at the…

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…

Q: A car is driving on a flat, circular track and accelerates uniformly from rest with a tangential…

Q: A mixing beater consists of three thin rods, each 10.9 cm long. The rods diverge from a central hub,…

Q: A truck with mass m = 1000 kg is traveling around a circular curve of radius r = 770 m when it…

A: Given, mass m =1000 kg radius r = 770 m The coefficients of static friction between the road and…

Q: An object of mass M1 travels in a circular path of radius R on a horizontal table. The object is…

A: In this diagram, both masses are attached with a same string. so, the tension in the string will be…

Q: Skateboarder is attempting to make a circular arc of radius r= 15 m in a parking lot. The total mass…

A: Radius of circular arc (r) = 15 m Mass (m) = 99 kg Coefficient of static friction (μs) = 0.58

Q: ) Calculate the time interval required for m1 to hit the floor (in second). b) Calculate the time…

A: The given that: The mass: m1 = 30.0 kg, m2 = 13.4 kg, The radius is R = 0.300 m The mass of the…

Q: A potter's wheel-a thick stone disk of radius 0.500 m and mass 115 kg-is freely rotating at 50.0…

Q: A 30-kg child is sitting 5.0 m from the center of a 500-kg merry-go-round that is rotating…

A: Given Mass of child m=30kg Mass of merry-go round M=500kg Distance of child from centre r=5m…

Q: The light right-angle boom which supports the 450-kg cylinder is supported by three cables and a…

A: Solution: The Reactions at O and cable tensions are calculated using below:

Q: A car traveling on a flat (unbanked), circular track accelerates uniformly from rest with a…

A: Recall there are two acceleration tangential and radial. So net acceleration is neither along…

Q: A (solid) spool of mass M and radius R is supported by an axis about which it can rotate freely. A…

A: In this problem, the rotational kinetic energy is used to displace the mass m by h distance.

Q: At your job at a warehouse, you have designed a method to help get heavy packages up a 15° ramp. The…

A: The coefficient of friction is given by, μ = FN =25050×10 = 0.5 where F is the horizontal force N…

Q: normal force at point A N normal force at point B N

A: Newton's Second Law of motion According to Newton's Second law of motion, the rate of change of…

Q: Create a FBD for segment 2 that is attached to the lower end of the cord. Assume, for the moment,…

Q: A brick of mass 1.19 kg is attached to a thin (massless) cable and whirled around in a circle in a…

A: mass, m = 1.19 kg radius, r = 1.334 m Tension, T = 45 N

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

100%

A ball of mass m, =5.7 kg and a block of mass m, =3.1 kg are connected with a lightweight string over a pulley with moment of inertia I and radius R=0.25m. The coefficient of kinetic friction between the table top and the block of mass m, is uy = 0.5. If the magnitude
of the acceleration is a=3.0 m/s2.
a)What are the tensions T, and T, in the string.
N
T2=
N
b)Calculate the moment of inertia of the pulley.
I=
kg m2
c) What is the change of the kinetic energy of the system if the system is released from rest and the ball decends a distance h=5.4 m downward.
ΔΚ -

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

Step 2

Step 3

Step 4

Step 5

Step 6

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

Angular speed, acceleration and displacement

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

3. The member OA rotates in vertical plane about a horizontal axis through O with a constant counter clockwise velocity w=3 rad/s. As it passes the position 0=0, a small mass m is placed upon it at a radial distance r=0.5 m. If the mass is observed to slip at 0=37°, find the coefficient of friction between the mass and the member. Answer: uk = 0.1875 Solution Ө
Two strings mị and m2 are tied with a massless string which passes over a frictionless pulley of moment of inertia I and radius R as shown. The coefficient of kinetic friction between the table and block 1 is u. The string moves without slipping over the pulley. Find the acceleration of each block and the tensions T, and T2.
An air puck of mass m₁ = 0.31 kg is tied to a string and allowed to revolve in a circle of radius R = 1.0 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of m₂ = 1.2 kg is tied to it (see the figure below). The suspended mass remains in equilibrium while the puck on the tabletop revolves. My R my (a) What is the tension in the string (in N)? (b) What is the horizontal force acting on the puck (in N)? N (c) What is the speed of the puck (in m/s)? m/s
A roller (mass m, mass moment of inertia Os, radius r) is wrapped around by a rope. A block (mass m2) is connected to the center of gravity of the roller by a massless rod. The block and the roller slide downwards on the rough inclined plane (coefficient of friction H). a) What acceleration i does the roller center of gravity experience? b) What is the maximum coefficient of friction u that a sliding motion starts from rest? Given: r, a, m1 = m2= m, Os, µ, g.
A pulley has a negligible mass (that means, the radius is not relevant). It is supported with a pin at the center (and is free to rotate). A rope goes over the pulley. Block A, which has a mass of 5.723 kg is connected to one side of the rope. On the other side, Block B, with a mass of 12.602 kg is connected. The system is released from rest. What is the speed of block B, after B has traveled 0.716 m? Please enter a positive value in m/s (but without units) regardless of the direction of the motion of B
A 1.5 kg block is connected by a rope across a 50-cm-diameter, 2.0 kg pulley, as shown. There is no friction in the axle, but there is friction between the rope and the pulley; the rope doesn’t slip. The weight is accelerating upward at 1.2 m/s2. What is the tension in the rope on the right side of the pulley?
You have a horizontal grindstone (a disk) that is 87 kg, has a 0.31 m radius, is turning at 94 rpm (in the positive direction), and you press a steel axe against the edge with a force of 23 N in the radial direction. The kinetic coefficient of friction between steel and stone is 0.20. What is the number of turns, N, that the stone will make before coming to rest?
A skateboarder is attempting to make a circular arc of radius r = 19 m in a parking lot. The total mass of the skateboard and skateboarder is m = 87 kg. The coefficient of static friction between the surface of the parking lot and the wheels of the skateboard is us= 0.68 . 1)What is the maximum speed, he can travel through the arc without slipping? 2)He speeds up very slightly and begins to slide. The coefficient of kinetic friction is uk = 0.13. What is the new magnitude, of his radial acceleration?
A 270-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley is suspended in such a way that it can rotate freely. When the mass is released, it accelerates toward the floor as the string unwinds. Model the pulley as a uniform solid cylinder of mass 1.00 kg and radius 7.00 cm. Assume that the thread has negligible mass and does not slip or stretch as it unwinds. Determine the magnitude a of the pulley's angular acceleration. rad/s? a = Determine the magnitude of the acceleration a of the descending weight. m/s? Question Source: Freedman College Physics 3e Publisher: Macmillan a =
A man stands on a merry-go-round that is rotating at 2.13 rad/s. If the coefficient of static friction between the man's shoes and the merry-go-round is ?s = 0.63, how far from the axis of rotation can he stand without sliding? (Enter the maximum distance in meters.) m
Current Attempt in Progress X Incorrect For the slender rod of mass m bent into the configuration shown, determine its products of inertia Ixy, Ixz, and lyz. Use the values m = 4.8 kg and b = 360 mm. 55° Answers: Ixy = |xz = lyz = i b 0.2199384932 i -0.2299384932 i -0.05184 55° kg.m² kg.m² kg.m²
A van with mass m = 1000 kg is driving around a circular curve of radius r = 950 m when it begins to rain. The coefficients of static friction between the track and tires is μd = 0.59 when dry and μw = 0.17 when wet. Write an expression for the maximum magnitude of the force of static friction Ff acting on the van if μs is the coefficient of friction. What is the maximum tangential speed that the van can take the corner at without slipping when dry in m/s? What is the maximum tangential speed when wet in m/s?