12. Bicycle Wheel. A simple bicycle wheel composed of a tire of mass 2.00 kg and radius 0.600 m and12 radial spokes each of mass 0.100 kg is lain flat on the ground and allowed to spin about its center suchthat the tire is moving at v = 5.00 m/s. A rock of mass 0.800 kg moving at 3.00 m/s hits one of spokesperpendicularly and at a distance of 0.200 m away from the center, as shown in the figure. If the rock sticksto the spoke and the wheel continues to rotate about its center, find the resultant angular velocity of thewheel-rock combination.

we will use the law of conservation of angular momentum to get the final angular velocity

12. Bicycle Wheel. A simple bicycle wheel composed of a tire of mass 2.00 kg and radius 0.600 m 12 radial spokes each of mass 0.100 kg is lain flat on the ground and allowed to spin about its center s that the tire is moving at v = 5.00 m/s. A rock of mass 0.800 kg moving at 3.00 m/s hits one of spo perpendicularly and at a distance of 0.200 m away from the center, as shown in the figure. If the rock sti to the spoke and the wheel continues to rotate about its center, find the resultant angular velocity of wheel-rock combination.

12. Bicycle Wheel. A simple bicycle wheel composed of a tire of mass 2.00 kg and radius 0.600 m 12 radial spokes each of mass 0.100 kg is lain flat on the ground and allowed to spin about its center s that the tire is moving at v = 5.00 m/s. A rock of mass 0.800 kg moving at 3.00 m/s hits one of spo perpendicularly and at a distance of 0.200 m away from the center, as shown in the figure. If the rock sti to the spoke and the wheel continues to rotate about its center, find the resultant angular velocity of wheel-rock combination.

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: Two masses A and B are attached to a shaft and revolve in the same plane. The masses are 12 kg and…

A: Given that , mA=12 kgmB=10kgrA=40mm rB=50mm θA=0°θB=150°rR=100 mm

Q: Prelab Exercises for Angular Motion 1. Draw a free-body diagram for mass M, while in motion (Fig.…

A: To Draw : The free body diagram for and centrifugal force.Given :

Q: 4. A bullet of mass m = 2 grams is moving horizontally with a speed of 500 m/s. The bullet strikes…

Q: A locomotive consists of multi cylinder reciprocating engine running at a speed of 4 r.p.s having a…

A: Given, Number of revolution, N=4rpsN=4×60=240rpmMass of reciprocating part, m=14kgMass of revolving…

Q: 8. The mass of the gear wheel is ma = 50 kg and the radius of inertia kO = 125 mm. Rack B stays in…

Q: HW10 An aeroplane makes a complete half circle of 75 meters radius, towards the right, when flying…

Q: The spool of cable has a mass of m (100 kg) and a radius of gyration of k (0.77m). The tension in…

A: given; mass(m)=100kgradius of gyration(kc)=077mtension force(T)=(30t3+77t )Ninner…

Q: An annular disc has a mass m, inner radius Rand outer radius 2R. The disc rolls on a flat surface…

Q: 2 An object is made of two identical uniform 3m long rods connected as shown. The total mass of the…

Q: Ql: A bar ABCD shown in Figure (1) below consists of three sections: AB is of 42 mm diameter and 80…

Q: Figuré 2 shows a ballistic pendulum consists of 5 kg slender rod and 10 kg solid cylinder. The…

A: Given that, Mass of pendulum, mp=5 kg,Mass of slender, ms=10 kg,Mass of bullet, mb=10 g,

Q: km per hour takes a turn with a radius of 1.5 km to the left. The gyroscopic moment exerted by the…

A: Given data; m=180 kgI=10kg/m2ω=1100 rad/s aircraft speed =800km/hrand it takes a turn with a radius…

Q: rotor of a turbojet engine has a mass of 250 kg and a radiu f 12000 rpm in the clockwise direction…

Q: 2.0 m is _m/s

A: answer- 3.33m/s

Q: 1) Diagram below shows four masses M,E,R,S carried by a rotating shaft at radii 100, 125, 200 and…

A: There will be many forces acting on a reciprocating engine, there will also be inertial forces. The…

Q: A locomotive consists of multi cylinder reciprocating engine running at a speed of 8 r.p.s having a…

Q: 5. The figure shows a spherical dish of radius R 1.00 m and a solid sphere of mass m 250.0 grams and…

A: Given Data: The radius of the spherical dish is R =1 m. The mass of the sphere is m = 250 g The…

Q: Calculate the linear momentum (L) of a motor car whieel which has a radius of gyration (kG) = 550…

Q: The 300 kg cylinder shown in the figure is wrapped with rope as shown and released from rest. Find…

Q: The plane of the figure represents a horizontal plane. A thin rigid rod at rest is pivoted without…

Q: 1) Three small spheres are rigidly mounted to a horizontal shaft with rotates with angular velocity…

A: Due to rotation of shaft there will be centrifugal forces acting outwardly on the masses m2 and m3.…

Q: Consider the system below. Calculate the kinetic energy of this system. Assume that pulley otates…

A: Drr

Q: t snowi bélów consis = 0.6 m and0 = 30 have negligible mass. ular speed of w = 1.2 ra

A: given:M=1.6KGL=0.6mθ=300ω=1.2rad/s

Q: HW11 An aeroplane makes a complete half circle of 75 meters radius, towards the left, when flying at…

Q: A multi cylinder engine is fitted with a flywheel of mass 0.7 ton ,which runs at a mean speed of 440…

Q: For the three scenarios shown below, determine the angular velocity about point O, if each rigid…

Q: 5. The pendulum shown below consists of a 30 kg point mass at the end of a uniform bar with mass m =…

Q: Two spheres of mass m are connected to each other by a spring and rods of negligible weight. rods…

A: Data given- m = 3 kg Q = 30° k = 200 N/m F = 200 N

Q: A locomotive consists of multi cylinder reciprocating engine running at a speed of 8 r.p.s having a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A single cylinder reciprocating engine has speeded 300 RPM. Stroke 250 mm, mass of reciprocating…

A: Given,Reciprocating mass parts, Revolving parts mass, Fraction of reciprocating parts to be…

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: Variation of maximum & minimum swaying couple for the given centre distance 76cm between the two…

A: As you mentioned you want 4 and 5.For that refer below images.

Q: Q2.A warplane turns left at an orbit with a radius of R = 500 m at a speed of 1600 km /h parallel to…

A: Given: The radius of path of warplane, R = 500 m The speed of warplane, v = 1600 km/h = 444.444 m/s…

Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

12. Bicycle Wheel. A simple bicycle wheel composed of a tire of mass 2.00 kg and radius 0.600 m and
12 radial spokes each of mass 0.100 kg is lain flat on the ground and allowed to spin about its center such
that the tire is moving at v = 5.00 m/s. A rock of mass 0.800 kg moving at 3.00 m/s hits one of spokes
perpendicularly and at a distance of 0.200 m away from the center, as shown in the figure. If the rock sticks
to the spoke and the wheel continues to rotate about its center, find the resultant angular velocity of the
wheel-rock combination.

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

VIEW

moment of inertias

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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 flywheel weight = 50 kN with radius of gyration= 1 m losses its speed from 400 rpm to 280 rpm in 5 minutes. Find change in angular momentum.
A homogeneous disk of weight W= 6 lb rotates at the constant rate @₁-17.8 rad/s with respect to arm ABC, which is welded to a shaft DCE rotating at the constant rate @2= 8.9 rad/s. Determine the angular momentum HA of the disk about its center A. resin. A 9 in The angular momentum HA of the disk about its center A is HA ( lb-ft-s)i + ([ lb-ft-sj
The rod PQ of length L = 2 m and uniformly distributed mass of M = 10 kg, is released from rest at the position shown in the figure. The ends slide along the frictionless faces OP and OQ. Assume acceleration due to gravity, g 10 m/s2. %3D %3D The mass moment of inertia of the rod about its centre of mass and an axis perpendicular to the plane of the figure is (ML2/12). At this instant, the magnitude of angular acceleration (in radian/s?) of the rod is 2m 45° Q
Consider a slender rod AB with a length l and a mass m. The ends are connected to blocks of negligible mass sliding along horizontal and vertical tracks. If the rod is released with no initial velocity from a horizontal position as shown in Fig.A, determine its angular velocity after it has rotated through an angle of θ (see Fig B) using the conservation of energy method. (Hint: Moment of inertia of rod about G = (1/12)ml2 The kinetic energy of a rigid body in plane motion is
Dynamics Lesson:I want detailed and manual solution.
A uniform rod of mass M = 2.3 kg and length L = 0.2 m, lying on a frictionless horizontal plane, is free to pivot about a vertical axis through one end, as shown. The moment of inertia of the rod about this axis is given by 1/3 ML2. If a force F = 7 N, q = 47° acts as shown, what is the resulting angular acceleration (in rad/s2) about the pivot point?
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)