You have a pulley 11.8 cm in diameter and with a mass of 1.4 kg. You get to wondering whether the pulley is uniform. That is, is the mass evenly distributed, or is it concentrated toward the center or the rim? To find out, you hang the pulley on a hook, wrap a string around it several times, and suspend your 1.7 kg physics book 1.5 m above the floor. With your stopwatch, you can find that it takes 0.61 s for your book to hit the floor. Use g=9.8 m/s². What is the moment of inertia if the pulley is uniform? kg m2 What is the actual moment of inertia of the pulley based on your measurement? kg m2 What do you conclude about the pulley? O The pulley is uniform (within 1% of uniform) O The mass of the pulley is concentrated toward the center O The mass of the pulley sconcentrated toward the rim

You have a pulley 11.8 cm in diameter and with a mass of 1.4 kg. You get to wondering whether the pulley is uniform. That is, is the mass evenly distributed, or is it concentrated toward the center or the rim? To find out, you hang the pulley on a hook, wrap a string around it several times, and suspend your 1.7 kg physics book 1.5 m above the floor. With your stopwatch, you can find that it takes 0.61 s for your book to hit the floor. Use g=9.8 m/s². What is the moment of inertia if the pulley is uniform? kg m2 What is the actual moment of inertia of the pulley based on your measurement? kg m2 What do you conclude about the pulley? O The pulley is uniform (within 1% of uniform) O The mass of the pulley is concentrated toward the center O The mass of the pulley sconcentrated toward the rim

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: You have a pulley 13.9 cm in diameter and with a mass of 1.3 kg. You get to wondering whether the…

A: Given data:

Q: A wrench 0.3 meters long lies along the positive y-axis, and grips a bolt at the origin. A force is…

Q: A hanging weight, with a mass of m₁ = 0.355 kg, is attached by a cord to a block with mass m₂ =…

A: It is given that:the hanging mass, m1=0.335 kgthe block mass, m2=0.845 kgthe mass of the pulley,…

Q: The wheels, axle, and handles of a wheelbarrow weigh W = 58 N. The load chamber and its contents…

A: Given weight of handles of a wheelbarrow W = 58 N. The load chamber and its contents weigh WL = 580…

Q: A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The…

A: L = 0.877 m m = 1.23 kg Initial angular velocity = 0 rad/secFinal angular velocity = 6.61 rad/sec…

Q: A uniform door weighs 58.0 N and is 1.40 m wide and 2.60 m high. What is the magnitude of the torque…

A: Given, Width of the door = 1.4 m height of the door = 2.6 m weight of the door = 58N we need to…

Q: A 3-meter-long bar has an axis of rotation located at the center of its length. A force of 4.0…

A: Rotation is when body revolves around a fixed axis. All the particles of body go circular motion. A…

Q: A uniform 5.0 m long 25 kg plank is to hold two people washing windows on a downtown skyscraper. The…

Q: The figure shows a bicycle wheel resting against a small step whose height is h = 0.130 m. The…

Q: meter stick has a fixed axis of rotation at 50 m. A 4 kg mass is located at the 10 m marker, a 5 kg…

A: Length of the meter stick is L = 50 m For the system to be in equilibrium, the net torque of the…

Q: John is performing an isometric contraction of the quadriceps to hold a 500 N weight at an angle of…

A: Given, weight W=500angle θ=450l=42.5 cmd=10mm

Q: A 10-m long homogenous beam with a weight of 50N is divided into 10 equal parts (1 m each) as shown…

Q: A 0.5 kg meter stick has a center of mass at the 50 cm mark. You place a pivot at the 50 cm mark and…

Q: 8.0 N 40% 25 cm 75 cm 10 N 30°

Q: A 5.60m long, 500 kg steel uniform beam extends horizontally from the point where it has been bolted…

Q: A meter stick has a pivot placed at 30 cm. A mass of 100 g is placed at 85 cm and a mass 600 g is…

Q: a makeshift close-grip pull-up station. The I beam is anchored at two points (Point A) is at one…

A: We are given the mass of man. We hence know the weight of man. We first apply equilibrium of torque…

Q: The 20-mm-diameter A-36 steel shaft is subjected to the torques shown. 80 Nm 20 Nm 30 Nm 800 mm 600…

Q: A steering wheel is rotated through 120 degrees and has a radius of 44 cm. How far would a point on…

Q: At the gym, someone holds a 5.0 kg dumbell straight out, parallel to the floor. If the person's arm…

A: magnitude of torque is given by r(perpendicular)F = F(perpendicular)r given, F = 5g = 5x9.8 = 49 N r…

Q: A spool of thread consists of a cylinder of radius R1 = 4.3 cm with end caps of radius R2 = 9.9 cm…

Q: We hang a body on a 2.0 m long string and lift it so that the string forms an angle of 40° with the…

A: Given data: Length of sting (L) = 2 m Angle = 40° Need to determine the angular velocity when it…

Q: A weightless rod, 4.0 m long, supports three weights as shown. Where is its center of gravity? xCM…

Q: A 20-cm-long wrench is used to tighten a nut. The wrench handle is pulled at 35° from the…

Q: bolt requires 272 Nm of torque to be unscrewed. If the maximum force you can apply is 232 N, what is…

Q: You have a pulley 12.6 cm in diameter and with a mass of 2.0 kg. You get to wondering whether the…

Q: Elements of the lower arm are shown in the figure. The weight of the forearm is Q = 55 N and its…

Q: A 1 kg ball is hung at the end of a rod 1 m long. If the system balances at a point on the rod 0.25…

Q: A solid uniform 45-kg ball of diameter 32.0 cm is supported against a vertical, frictionless wall…

Q: A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The…

Q: A 45.5‑kg box with the dimensions a×b (the width a = 0.6 m and height b = 1.3 m) is standing on a…

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

Q: A thin cord is wrapped around a uniform grindstone of radius 0.30 m and mass of 25 kg supported by…

Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

You have a pulley 11.8 cm in diameter and with a mass of 1.4 kg. You get to wondering whether the pulley is uniform. That is, is the mass evenly distributed, or is it concentrated toward the center or the rim? To find out, you hang the pulley on a hook, wrap a string around it several times, and suspend your 1.7 kg physics book 1.5 m above the floor. With your stopwatch, you can find that it takes 0.61 s for your book to hit the floor. Use \( g=9.8 \, \text{m/s}^2 \).

**What is the moment of inertia if the pulley is uniform?** \[ \_\_\_\_\_\_\_ \, \text{kg m}^2 \]

**What is the actual moment of inertia of the pulley based on your measurement?** \[ \_\_\_\_\_\_\_ \, \text{kg m}^2 \]

**What do you conclude about the pulley?**
- ⊙ The pulley is uniform (within 1% of uniform)
- ⊙ The mass of the pulley is concentrated toward the center
- ⊙ The mass of the pulley is concentrated toward the rim

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: Part (a):

VIEW

Step 2: Part (b):

VIEW

Step 3: Part (c):

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

Calculate the torque produced by the tension T = 20 N at point 0.
Josh has just raised a 2.5 kg bucket of water using a well’s winch when he accidentally lets go of the handle. The winch consists of a rope wrapped around a 3.0 kg, 4.0-cm-diameter cylinder, which rotates on an axle through the center. The bucket is released from rest 4.0 m above the water level of the well. How long does it take to reach the water?
The outstretched hands and arms of a figure skater preparing for a spin can be considered a slender rod pivoting about an axis through its center ( Ibar=ml² where l is the length of the bar). When the skater's hands and arms are brought in and wrapped around their body to execute the spin, the hands and arms can be considered a thin-walled hollow cylinder. The hands and arms have a combined mass 10 kg. When outstretched, they span 2.1 m. When wrapped, they form a cylinder of radius 21 cm. The moment of inertia about the rotation axis of the remainder of the body is constant and equal to 0.6 kg-m2. If the original angular speed is 0.5 rev/s, what is the final angular speed? 00f= rev/s Determine how much the figure skater's rotational KE increased. [NOTE: We express energy in J. To get J, you must convert your angular velocities to the appropriate mks. units which are rad/s.] ΔΚΕ- =
A 30 kg basketball goal is supported by a uniform 10.0 kg pivoting arm that is 0.70 m long. The goal and arm are raised and lowered by a cable that attaches at a point 0.50 m from the wall, as shown. When the goal is down, the cable makes a 45° angle with the arm. What is the tension in the cable?
The wheels, axle, and handles of a wheelbarrow weigh 60.0 N. The load chamber and its contents weigh 525 N. The drawing shows these two forces in two different wheelbarrow designs. To support the wheel- barrow in equilibrium, the man’s hands apply a force F to the handles that is directed vertically upward. Consider a rotational axis at the point where the tire contacts the ground, directed perpendicular to the plane of the paper. Find the magnitude of the man’s force for both designs.
How do you solve problem? I'm confused about which equations to use and which variables go where. How should I think about what is going on? You have a pulley 14.6 cm in diameter and with a mass of 1.9 kg. You get to wondering whether the pulley is uniform. That is, is the mass evenly distributed, or is it concentrated toward the center or the rim? To find out, you hang the pulley on a hook, wrap a string around it several times, and suspend your 1.2 kg physics book 1.5 m above the floor. With your stopwatch, you can find that it takes 0.62 s for your book to hit the floor. Use g=9.8 m/s2. a) What is the moment of inertia if the pulley is uniform? b) What is the actual moment of inertia of the pulley based on your measurement? c) Is the pulley uniform (within 1% of uniform), is the mass of the pulley concentrated toward the center, or is the mass concentrated toward the rim?
A child exerts a tangential 58.5 N force on the rim of a disk-shaped merry-go- round with a radius of 2.49 m.
The maximum load that can be supported by a crane is determined by the torque that the load exerts about the pivot point of the crane. If a certain crane is rated to support a load of 1000kg at a distance of 10m from its main tower, how large a load can it support at a distance of 40m from its main tower? See figure. 10 m 40 m O 250 kg O 4000 kg O 1000 kg O 2000 kg O 500 kg
As a torque activity, your Physics TA sets up the arrangement shown below. 3 F_= A uniform rod of mass m = 118 g and length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r₁ = 10.0 cm and r₂ = 90.0 cm mark, passed over pulleys, and masses of m₁ = 271 g and m₂ = 137 g are attached. Your TA asks you to determine the following. (a) The position r3 on the rod where you would suspend a mass m3 = 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). m4 F_= OF = "5 (b) Let's now remove the mass m3 and determine the new mass m4 you would…
A 9 m long board that has a mass of 14. Each end is held up by a vertical rope. A 45 kg box sits 1 m from the left end. Find the tension in the rope on the right. Hint: With forces applied at different places, this is a beam problem pick a pivot point measure all distances from the pivot point Apply Στ = 0 Don't forget torque = force x dist, so you need to multiply the masses by g = 9.8 m/s2 If you need more information, apply ΣF = 0