•62 In Fig. 10-35, three 0.0100 kg particles have been glued to a rod of length L= 6.00 cm and negligible mass and can rotate around a perpendicular axis through point O at one end. How much work is required to change the rotational rate (a) from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to 60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic energy (in joules) versus the square of its rotation rate (in radians- squared per second-squared)? -L- Axis т т т -d→-d→--d→ Figure 10-35 Problems 38 and 62.

•62 In Fig. 10-35, three 0.0100 kg particles have been glued to a rod of length L= 6.00 cm and negligible mass and can rotate around a perpendicular axis through point O at one end. How much work is required to change the rotational rate (a) from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to 60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic energy (in joules) versus the square of its rotation rate (in radians- squared per second-squared)? -L- Axis т т т -d→-d→--d→ Figure 10-35 Problems 38 and 62.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Dynamics

Section8.5: Rotational Kinetic Energy

Problem 8.4QQ: Two spheres, one hollow and one solid, are rotating with the same angular speed around an axis...

See similar textbooks

Related questions

Q: (II) A bowling ball of mass 7.25 kg and radius 10.8 cm rolls without slipping down a lane at 3.10…

A: Let m denote the mass of the bowling ball, r denote the radius of the ball, v denote the speed of…

Q: 17-102. The 25-lb slender rod has a length of 6 ft. Using a collar of negligible mass, its end A is…

Q: water wheel with radius Rw = 1.3 m and mass Mw = 1.85 x 103 kg is used to power a grain mill next to…

Q: A sphere of radius R = 30 cm and mass m = 1.8 kg starts from rest and rolls without sliding down a…

Q: you are holding your outstretched arm at rest in a horizontal position. the mass of your arm is m…

A: Given h0=3.26 cmhi=-1.77 cm (Inverted Image)v=13.9 cm

Q: A wheel of 15mm radius on a rotates on a stationary axle. it is uniformly Speeded up from rest to a…

Q: 31 In Fig. 11-42, a 0.400 kg ball is shot directly upward at initial speed 40.0 m/s. What is its…

Q: Am-0.25kg mass is attached to end of a thin uniform rod of mass M =1.34kg and length L-3.33m which…

A: According to the conservation of energy, energy is neither created nor destroyed but transforms from…

Q: A 62.0-kg woman stands at the western rim of a horizontal turntable having a moment of inertia of…

A: Given : Mass of women, mw = 62 kg Moment of inertia of the turntable, It = 450 kg m…

Q: The 10-kg wheel is subjected to a 150-N P horizontal force. The wheel starts from rest and rolls…

A: The component of of P along the incline is Pcosθ = P2. Hence work done= force x distance = P2×2 =…

Q: An electric sander consisting of a rotating disk of mass 0.7 kg and radius 10 cm rotates at 15…

A: Given data: Mass of the rotating disk, m=0.7 kg Radius of the disk, r=10.0 cm = 0.10 m Initial…

Q: and (2) the angular pe 4. A discus thrower (Fig rest to a speed of 25.0 Assume the discus mo radius.…

A: Given,

Q: Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone…

Q: A 5 kg cylinder 0.5 m in diameter rolls down a plane 5 m long inclined 30° with the horizontal at…

A: Given Data Mass of the cylinder is m=5 kg Diameter of the cylinder is d=0.5 m So radius of the…

Q: 2.50 kg solid sphere of radius 1.25 m is rolling with a translational velocity of 7.50 m/s along a…

A: Given Mass m = 2.5 kg Radius R = 1.25 m Translational Velocity v = 7.5 m/s

Q: (II) A merry-go-round has a mass of 1440 kg and a radius of 7.50 m. How much net work is required to…

Q: A solid cylinder (I = 1/2(MR 2) potter's wheel is a thick stone of radius 6 m with mass 7 kg. It…

Q: 18-26. Two wheels of negligible weight are mounted at corners A and B of the rectangular 75-lb…

Q: When turning on a motor, it reaches a nominal speed of 2,500 rpm in a time of 12 s; when the motor…

A: Apply the first angular kinematic equation. Apply the second kinematic equation.

Q: Rotation axis 61 The uniform rod (length 0.60 m, mass 1.0 kg) in Fig. 11-54 rotates in the plane of…

A: Moment of inertia through the rotation axis I=0.12 kg.m2 for rod of mass M=1 kg and length l=0.6 m.…

Q: Three point masses are held in place by massless rods. The system lies on a horizontal plane and…

A: Moment of inertia of a point mass rotating at a certain radius is given by I = mR2, where m= mass R…

Q: A solid sphere of mass 0.1 kg and radius 2.5 cm rolls without slipping with a uniform velocity of…

Q: A wheel of radius 4 m, mass 25 kg, and mo- 3 mr2 about the center of 4 ment of inertia - mass is…

A: Mass of wheel (m) = 25 kg Radius of wheel (r) = 4 m Moment of inertia of wheel = 34mr2Hanging mass…

Q: (II) Two masses, mA = 35.0 kg and mB = 38.0 kg, are connected by a rope that hangs over a pulley (as…

Q: Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone…

A: In this question we are given that your grandmother enjoys creating pottery as a hobby. She uses a…

Q: 17-74. The 5-kg cylinder is initially at rest when it is placed in contact with the wall B and the…

Q: QUESTION 5 4. Two thin uniform rods with length L=1.0 m; the first rod has a mass 3m, and the second…

Q: A solid, uniform disk of radius 0.250 m and mass 55.0 kg rollsdown a ramp of length 4.50 m that…

A: Given data:Mass of the disk. M = 55.0 kgRadius of the disc, R = 0.250 mLength of the ramp, L = 4.50…

Q: The diagram below shows a wheel(disk) of radius R and mass M = string to a mass m which is hanging…

Q: A 5 kg cylinder 0.5 m in diameter rolls down a plane 5 m long inclined 30° with the horizontal at…

Q: 77. . A uniform, solid sphere of radius 5.00 cm and mass 3.00 kg starts with a translational speed…

Q: Calculate the final speed of a solid cylinder that rolls down a 2.00-m-high incline. The cylinder…

Q: A specially constructed sphere with a mass of M = 2.7 kg , and a radius of R= 20 cm starts from rest…

A: M = 2.7 kg R = 20 cm = 0.20 m h = 6.2 m I = 23MR2 E = ? ω =?

Q: 2/52 Determine the angle e which will maximize the moment Mo of the 50-lb force about the shaft axis…

Q: A 56.0-kg woman stands at the western rim of a horizontal turntable having a moment of inertia of…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: cylindrical bar with a sphere firmly attached to one end is originally at rest in a horizontal…

Q: Your grandmother enjoys creating pottery as a hobby. She uses a potter’s wheel, which is a stone…

A: Radius, R = 0.5 mMass, M = 100 kgTime, t = 6 sNormal force, FN = 70 NInitial angular velocity, ωi =…

Q: A uniform, rigid hoop of radius R and mass M is pivoted at a point A, on its perimeter. It is able…

A: Given The who and clay Both mass M. The given problem problem of collision and the concept uses…

Q: Two thin rods of length L are rotating with the same angular speed w (in rad/s) about axes that pass…

Question

•62
In Fig. 10-35, three 0.0100 kg particles have been glued to a
rod of length L= 6.00 cm and negligible mass and can rotate
around a perpendicular axis through point O at one end. How
much work is required to change the rotational rate (a) from 0 to
20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to
60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic
energy (in joules) versus the square of its rotation rate (in radians-
squared per second-squared)?

-L-
Axis
т
т
т
-d→-d→--d→
Figure 10-35 Problems
38 and 62.

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

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

what is the answer for part d?

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

Two spheres, one hollow and one solid, are rotating with the same angular speed around an axis through their centers. Both spheres have the same mass and radius. Which sphere, if either, has the higher rotational kinetic energy? (a) The hollow I sphere, (b) The solid sphere, (c) They have the same kinetic energy.
Figure 13.24 shows a particle with momentum p. Using the coordinate systems shown, determine the direction of the angular momentum of the particle around the origin in each case, and write expressions for L, using symbols defined in Figure 13.23. FIGURE 13.24
A 40.0-kg solid sphere is rolling across a horizontal surface with a speed of 6.0 m/s. How much work is required to stop it? Compare results with the preceding problem.
Check Your Understanding What is the moment of inertia of a cylinder of radius R and mass m about an axis through a point on the surface, as shown below? A uniform thin disk about an axis through the center Integrating to find the moment of inertia of a two-dimensional object is a little bit trickier, but one shape is commonly done at this level of study—a uniform thin disk about an axis through its center (Figure 10.27). Figure 10.27 Calculating the moment of inertia for a thin disk about an axis through its center.
Does increasing the number of blades on a propeller increase or decrease its moment of inertia, and why?
An automobile engine can produce 200Nm of torque. Calculate the angular acceleration produced if 95.0 of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0-kg disk that has a 0.180-m radius. The walls of each tire act like a 2.00-kg annular ring that has inside radius of 0.180 m and outside radius of 0.320 m. The tread of each tire acts like a 10.0-kg hoop of radius 0.330 m. The 14.0-kg axle acts like a rod that has a 2.00-cm radius. The 30.0-kg drive shaft acts like a rod that has a 3.20-cm radius.
A 60.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 500 kg m2 and a radius of 2.00 m. The turntable is initially at rest and is free to rotate about a frictionless, vertical axle through its center. The woman then starts walking around the rim clock-wise (as viewed from above the system) at a constant speed of 1.50 m/s relative to Earth. (a) In what direction and with what angular speed does the turntable rotate? (b) How much work does the woman do to set herself and the turntable into motion?
If a particle is moving with respect to a chosen origin it has linear momentum. What conditions must exist for this particle’s angular momentum to be zero about the chosen origin?
If the torque acting on a particle about an axis through a certain origin is zero, what can you say about its angular momentum about that axis?
Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120 rad/s and its inner radius is 0.280 m and outer radius 0.330 m.
Calculate the rotational kinetic energy in the motorcycle wheel (Figure 10.38) if its angular velocity is 120 rad/s. Assume M=12.0kg,R1=0.280m, and R2=0.330m .
A rigid body with a cylindrical cross-section is released from the top of a 30 incline. It rolls 10.0 m to the bottom in 2.60 s. Find the moment of inertia of the body In terms of its mass m and radius r.