2. What is the moment of inertia of a cylindrical rod of mass M and length L, rotating at a distance L/4 fromone of its ends? Which has a higher moment of inertia, a baton whirl at its center or a distance L/4 from one of its one end?

2. What is the moment of inertia of a cylindrical rod of mass M and length L, rotating at a distance L/4 fromone of its ends? Which has a higher moment of inertia, a baton whirl at its center or a distance L/4 from one of its one end?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter10: Rotational Motion And Angular Momentum

Section: Chapter Questions

Problem 11PE: Calculate the moment of inertia of a skater given the following information. (a) The 60.0-kg skater...

See similar textbooks

Related questions

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: Determine the moment of inertia for a Solid Sphere with a radius of 1.6 m and a mass of 3.7 kg.

A: Given data: The mass of sphere is m = 3.7 kg. The radius of sphere is r = 1.6 m.

Q: The moment of inertia of the top shown in the figure is 6.00×10–3 kg.m2 and is initially at rest.…

A: Given data: Moment of inertia (I) = 6.00 × 10-3 kg.m2 Tensile force (F) = 6.87 N The rope pulled…

Q: Someone is standing on a frictionless platform that is rotating at 2.1 revolutions per second. In…

A: If I = moment of Inertia and w = Angular speed , then Kinetic Energy ( KE ) is given by KE=12Iw2…

Q: A 4 kg ball with a 0.45-meter radius is initially at rest begins to roll and accelerate at a uniform…

Q: 5. Show using calculus how to find the moment of inertia for a uniform washer of inner radius R¡ and…

A: The answer of the following question is written here ,

Q: 4. The thin plate shown is composed of a rectangular plate of mass 102 kg and a quarter-circular…

A: Given:mass, m1 = 102 kg m2 = 60 kg

Q: 2. A uniform rod of length 0.6 m and mass 3 kg rotates with angular speed 10 radians/s about an axis…

Q: 13. A thin wire of length l and mass m is bent in the form of a semi-circle. Its moment of inertia…

Q: 3. Show using calculus how to find the moment of inertia for a uniform ring of radius R and mass M…

Q: Which of the followng Can Never Change Without an external torque? Anguar Velocity Angular…

A: Torque Rotational inertia of a body depends on dimension of the body and the axis of rotation of the…

Q: Determine the moment of inertia of a 10.8-kg sphere of radius 0.648 m when the axis of rotation is…

Q: 1. Show using calculus how to find the moment of inertia for a uniform rod of length Land mass M…

A: Given: The mass of the rod is M. The length of the rod is L. Introduction: The mass moment of…

Q: (I) Estimate the moment of inertia of a bicycle wheel 67 cm in diameter. The rim and tire have a…

A: Moment of inertia gives us a combined factor of the mass of a rotating object and how that mass is…

Q: A thin rod of mass M and length L is pivoted on a frictionless hinge at one end, as rest…

A: Determine the moment of inertia of the given rod about hinge by using the parallel axis theorem.…

Q: A0.65-m-diameter solid sphere can be rotated about an axis through its center by a torque of 11.0 m…

A: Let the mass of sphere is m Applying conservation of momentum Torque applied = Moment of inertia…

Q: 9.37 The flywheel of a gasoline engine is required to give up 540 JJ of kinetic energy while its…

A: Given data *The given kinetic energy is ∆k=-540 J *The initial angular velocity is ωi=640…

Q: What are the factors on which rotational inertia depends?

A: Rotational inertia is the resistance to a change in rotational motion, which is similar to plane…

Q: 6. From rest, a tennis player swings a club which moves uniformly through 1.25 revolutions in 0.20…

Q: Two independent wheels start from rest and are given the same angular acceleration. The first…

A: Given- Angular acceleration of two wheels are same = α 1st wheel turns with θ radiations, and…

Q: 8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside…

Q: An 8.70-cm-diameter, 400 g solid sphere is released from rest at the top of a 1.50-m-long, 19.0 ∘…

Q: A carousel is initially at rest. At t=0, it is given a constant angular acceleration α= 0.060 rad/s2…

Q: 2. An ice skater starts her spin with ams outstretched, rotating at 1.5 rev/s. Estimate her…

Q: 7. Calculate the moment of inertia of a solid cylinder of mass 3.50 kg and diameter 0.50 m, which is…

Q: 4. Show using calculus how to find the moment of inertia for a uniform disc of radius R and mass M…

Q: A torque of magnitude 50N m acts for 3 seconds to start a small airplane propeller (I = }mr²) of…

A: Write the expression or the torque and substitute the required values to determine the angular…

Q: Homework Q6.

Q: 5. A spherical bob of radius R and mass m, is attached to a slender rod of length / and mass m, as…

A: Given:mass of bob =mbradius of bob = Rlength of rod = lmass of rod =mr let axis of rotation is PQ

Q: A stick of mass 15.1 kg and length 3.4 m is pinned at its center but is free to rotate (the moment…

A: Given data: Mass of the stick, M=15.1 kg Length of the stick, L=3.4 m Mass at one end of the stick,…

Q: 7) Which of the following is not correct when describing moment of inertia? A. distribution…

A: The moment of Inertia is understood as the rotational analogue of the mass of the body.

Q: 1. Express the kinetic energy of the body rotating about an axis through its center of mass. II.…

A: According to the conservation of energy, 12mv2+12Isωs2+12Ipωp2=mgh…

Q: (I) Determine the moment of inertia of a 10.8-kg sphere ofradius 0.648 m when the axis of rotation…

A: The moment of inertia for sphere is, I=25MR2

Q: 2. Two equal 4N forces act on a wheel as shown. The diameter of the wheel is 0.6m. The wheel starts…

Q: A child is playing with a 2.00 kg spinning toy (yo-yo) consisting of an axle connected to two disks,…

A: mass of toy = 2 kg Moment of inertia = 2.72×10-4 kg m2Angular speed (ω) = 29.2 rad/sec radius (r) =…

Q: Amachine part has the shape of solid cylinder of mass 500 g, diameter of 4.00 cm and length of 10.0…

Q: What is the difference between the angular velocity of a second hand of a wrist watch compared to…

A: Calculation: The second hand of a clock completes a full rotation in 60 s, the angular velocity of…

Q: A grinding wheel is a uniform cylinder with a radius of 8.40 cm and a mass of 0.350 kg . a)…

Q: A playground merry-go-round has Moment of Inertia of 500 kg-m2 and a radius of 4.5 m. Four children,…

A: The initial angular momentum is, Li=Iiωi=500 kg·m20.44 rad/s=220 kg·m2/s The final moment of inertia…

Q: A person working out, with arms stretched out to either side, holds 5 kg in each hand. While sitting…

Q: Two wheels are connected by a belt that does not slip. The smaller wheel has a diameter D, while the…

A: Given : Diameter of smaller wheel (d1) = D Diameter of bigger wheel (d2) = 4D

Q: 4. The flywheel of an engine has moment of inertia 2.50 kg.m? about its rotation axis. What constant…

Q: A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an…

A: Given data: Mass of the merry go round mm= 120 kg Mass of the child mc =28.0 kg Angular velocity, ω…

Q: 9) A uniform cylinder of radius R, mass M, and length L rotates freely about a horizontal axis…

A: Let’s assume the body of mass m, which is made to rotate about an axis o passing through the body's…

Q: Thin rod about perpendicular line through one end A thing solid cylinder has a mass 6.58kg and a…

A: Given, mass of solid cylinder(m) = 6.58kg. Length(L) = 1.84m

Question

2. What is the moment of inertia of a cylindrical rod of mass M and length L, rotating at a distance L/4 fromone of its
ends? Which has a higher moment of inertia, a baton whirl at its center or a distance L/4 from one
of its one end?

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 1q

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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, physics and related others by exploring similar questions and additional content below.

Similar questions

Repeat Example 10.15 in which the stick is free to have translational motion as well as rotational motion.
A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?
Suppose a child gets off a rotating merry-go-round, Does the angular velocity of the merry-go-round increase, decrease, or remain the same if: (a) He jumps off radially? (b) He Jumps backward to land motionless? (c) He jumps straight up and hangs onto an overhead tree branch? (d) He jumps off forward, tangential to the edge? Explain your answers. (Refer to Figure 10.34).
A potters wheel moves uniformly from rest to an angular speed of 1.00 rev/s in 30.0 s. (a) Find its average angular acceleration in radians per second per second. (b) Would doubling the angular acceleration during the given period have doubled the final angular speed?
Calculate the moment of inertia by direct integration of a thin rod of mass M and length L about an axis through the rod L/3 , as shown below. Check your answer with the parallel-axis theorem.
A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.500 rev/s. What is its angular velocity after a 22.0-kg child gets onto it by grabbing its outer edge? The child is initially at rest.
A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above the knee in the front of her leg. She produces an angular acceleration of 30.00 rad/s2 and her lower leg has a moment of inertia of 0.750kg-m2 What is the force exerted by the muscle if its effective perpendicular lever arm is 1.90 cm?
Which of the entries in Table 10.2 applies to finding the moment of inertia (a) of a long, straight sewer pipe rotating about its axis of symmetry? (b) Of an embroidery hoop rotating about an axis through its center and perpendicular to its plane? (c) Of a uniform door turning on its hinges? (d) Of a coin turning about an axis through its center and perpendicular to its faces?
Suppose you start an antique car by exerting a force of 300 N on its crank for 0.250 s. What angular momentum is given to the engine if the handle of the crank is 0.300 m from the pivot and the force is exerted to create maximum torque the entire time?
Why is the moment of inertia of a hoop that has a mass M and a radius R greater than the moment of inertia of a disk that has the same mass and radius? Why is the moment of inertia of a spherical shell that has a mass M and a radius R greater than that of a solid sphere that has the same mass and radius?
A baseball pitcher throws the ball in a motion where there is rotation of the forearm about the elbow joint as well as other movements. If the linear velocity of the ball relative to the elbow joint is 20.0 m/s at a distance of 0.480 m from the joint and the moment of inertia of the forearm is 0.500kg-m2 , what is the rotational kinetic energy of the forearm?
CHECK and THINK Our results give us a way to think about how a person might steer a unicycle. Consider the person, the unicycle, and the Earth as the system. No net torque acts on the system. Ignoring the motion of the Earth, Figure 13.37A shows the initial angular momentum of the system with the unicycle in motion: Li=Ltire. The person leans to his left so that the angular momentum of the tire rotates downward. The total angular momentum must still point to the right (Fig. 13.37B), so the angular momentum of the person must be upward to compensate. The persons angular velocity therefore points upward (parallel to his own angular momentum), and he is able to make a turn. Another way to analyze this situation is to exclude the Earth from the system and calculate the torque done by gravity. This approach is left as a homework problem. FIGURE 13.37 C Reanalyze the unicycles motion in Example 13.15 (page 382). This time, leave the Earth out of the system and explain how the torque exerted by gravity causes the unicycle to turn. Your explanation should involve a diagram.