A physics professor stands at the centre of a frictionless turntable with arms outstretched and a 9.75 kg dumbbell in each hand as shown in the following figure. He is set rotating about the vertical axis at 0.95 revolution per second. Find his final angular velocity if he pulls the dumbbells into his stomach. His moment of inertia (without the dumbbells) is 3.4 kgm with arms outstretched and 2.3 kgm with his hands at his stomach. The dumbbells are 1.3 m from the axis initially and 0.2 mat the end. Dumbbell Dumbbell Professor (not a dumbbell) BEFORE AFTER Insert the final angular velocity in revolutions per second correct up to at least a third decimal place.

A physics professor stands at the centre of a frictionless turntable with arms outstretched and a 9.75 kg dumbbell in each hand as shown in the following figure. He is set rotating about the vertical axis at 0.95 revolution per second. Find his final angular velocity if he pulls the dumbbells into his stomach. His moment of inertia (without the dumbbells) is 3.4 kgm with arms outstretched and 2.3 kgm with his hands at his stomach. The dumbbells are 1.3 m from the axis initially and 0.2 mat the end. Dumbbell Dumbbell Professor (not a dumbbell) BEFORE AFTER Insert the final angular velocity in revolutions per second correct up to at least a third decimal place.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Determine the new angular velocity.

A: Moment of inertia about man's center of mass Moment of inertia about woman's center of mass Mass of…

Q: In the figure below there is one larger disc centred in O of radius 10 cm, a smaller disc centred in…

Q: A 5-kg quarter of a circular disk with a radius of 500 mm and a radius of gyration kç = 0.25 m is…

A: Given Data The radius of the quarter circle, r=0.500m The radius of gyration, KG=0.25m. The mass of…

Q: A spherically symmetric object, with radius R = 0.70 m and mass M = 1.5 kg, rolls without slipping…

A: Given data:- A spherically symmetric object, with radius R = 0.70 m mass M = 1.5 kg, velocity V =…

Q: m A hollow wheel of mass given by m = 50 kg rolls down an incline of 30° without slipping. The inner…

A: Given-Information:To-Determine:a. Moment of inertia.b. Linear acceleration of the wheel's center of…

Q: a hoop with spokes of negligib 2.4 kg mass of the pulley is co its rim which is a distance 23.

A: Given data as per questionMass of pulley, mp=2.4 kgRadius of pulley, r=23.2 cm=0.232 mMass on right…

Q: In a cylindrical fuel element for a gas-cooled nuclear reactor, the generation rate of thermal…

A: Hi I have solved this question for you, if you like t o say thanks, please UPVOTE this answer, I…

Q: A student sits on a rotating stool holding two 3.0 kg objects. When his arms are extended…

Q: A shaft is rotating at a uniform angular speed. Four masses M1, M2, and M3 and M4 of magnitudes…

A: Given: The four masses are rotating in the same plane. The masses arem1 = 300 kgm2 = 450 kgm3 = 360…

Q: The pulley assembly shown in the figure weighs 150 kg and has a centroidal radius of gyration of 200…

Q: A 50 N force is applied 50 cm from the axis of rotation of a rigid body. The body starts from rest…

Q: The bar AB is uniform and has a mass of 50.0 kg. At the moment shown, the rod has an angular…

A: Given that, Mass of bar AB = 50 kg Angular velocity of rod = 4 rad/sec Spring is stretched by 0.3 m

Q: A circular steel flywheel has dimensions as shown in FIG. B1. The density of steel is 7860 kg m. It…

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

Q: Now consider two very similar semi trucks. One travels at 40 km/hr and another travels at 75 km/hr.…

A: -considering equal masses ( similar trucks)

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

A physics professor stands at the centre of a frictionless turntable with arms outstretched and a 9.75 kg dumbbell in each hand
as shown in the following figure. He is set rotating about the vertical axis at 0.95 revolution per second. Find his final angular
velocity if he pulls the dumbbells into his stomach. His moment of inertia (without the dumbbells) is 3.4 kgm with arms
outstretched and 2.3 kgm with his hands at his stomach. The dumbbells are 1.3 m from the axis initially and 0.2 mat the end.
Dumbbell
Dumbbell
Professor
(not a
dumbbell)
BEFORE
AFTER
Insert the final angular velocity in revolutions per second correct up to at least a third decimal place.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A wheel is attached by a cable to a block The wheel has a radius of 2ft and weighs 300lbs, the block weights 20lbs. If the radius of gyration about the point of rotation of the disk is 1.5ft, how many revolutions will it take for the wheel to come to a stop assuming it was moving at 10 rad/s CW. Assume the block is on the left side of the wheel and thus causes a CCW moment.
A truck with 0.312 - m - radius tires travels at 28.2 m /s. What is the angular velocity of the rotating tires in radians per second?
A student sits on a freely rotating stool holding two dumbbells, each of mass 2.97 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 1.09 m from the axis of rotation and the student rotates with an angular speed of 0.749 rad/s. The moment of inertia of the student plus stool is 2.57 kg. m² and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.305 m from the rotation axis (Figure b). Wf Wi a 30€ 30€ = b (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. K before J J after
Rod OA rotates counterclockwise at a constant angular rate 0-4 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r= (1.6 cos 6) m. Both collars have a mass of 0.65 kg. Motion is in the vertical plane. (Figure 1) Figure r=1.6 cos 9. 0-4 rad/s 0.8 m 1 of 1 Part A Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant 0=45 Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) F= Value Submit μÁ Part B Previous Answers Units X Incorrect; Try Again; 5 attempts remaining Determine the magnitude of the force that OA exerts on the other colar at the instant @-45. Express your answer to three significant figures and include the appropriate units. View Available Hint(s)
Blocks A and B shown in the figure have masses of 5 kg and 10 kg respectively.If the pulley is treated as a 3 kg solid disk with a 15 cm radius, determine the acceleration of the block A. Disregard the rope mass and any slip on the pulley.Consider that the moment of inertia of the pulley is given by Ip = (1/2)mr² in which m is the mass of the pulley and r is of radius the pulley.
On a wheel of mass 2.75 kg act 3 forces as shown in figure. Determine the angular acceleration felt by the wheel due to these forces.
Please do all the blanks on the pic.
A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)