Lab Report 2 (Moments of Inertia, Lab 9)

3 point objects with equal mass of 1.0 kg are positioned at the edges of an equilateral triangle with side 1 m. The original axis of symmetry (red line) bisects the triangle while the new axis of symmetry (green line) passes through point B. Using parallel axis theorem, find: a. distance of point A to the new axis of symmetry b. Total moment of inertia of the new system

1) A circular cone with mass m is shown below. The x axis is parallel to x' axis and the y axis is parallel to y'axis. Using parallel axis theorem, give the equations for Ix' and Iy' (moment of inertia about Ix' and Iy'). Note: Iy' = Iy - mh^2 is incorrect. Please explain why.2) A circle plate, semi-circle plate, and quarter circle steel plate with equal mass densities and thicknesses are all shown below. Their moment of inertia about the y axis is Iyc, Iys, and Iyq respectively. Rank their moment of inertia about the y-axis. Iys = Iyc = Iyq is incorrect. Please explain why.

Fundamentals of Physics, 11th Edition, Custom WileyPLUS Course for West Help SystemAnnouncements PRINTER VERSION BACK NEXT Chapter 10, Problem 071 In the figure, two 7.10 kg blocks are connected by a massless string over a pulley of radius 2.00 cm and rotational inertia 7.40 x 10 kg m2. The string does not slip on the pulley, it is not known whether there is friction between the table and the sliding block, the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.700 rad in 143 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s?. T. (a) Number Units (b) Number Units (c) Number Units (d) Number Units LINK TO TEXT LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM VIDEO MINI-LECTURE Question Attempts: 0 of S used SAVE FOR LATER SUBMIT…

d lw Biology Cab rofates at angular ES,4348h4+ 36.656 YORK COLLEGE of The City University of New York Name 2) A potter's wheel is uniform circular disk of mass 45.00kg and radius 0.450m. A electric motor brings wheel from rest to 70.00rev/min. a) What is the moment of inertia of the potter's wheel? b) How much work is done by the motor? c) If constant torque is acting on the wheel is 9,20N.m, how many revolution does it make? m=1,85K8 rこo.450 F= 9.20N

Two masses, m1 and m2, m1 > m2, are suspended by a massless rope over a pulley (disk) of mass mP and radius rP. At time t = 0, the masses are released from rest a) Demonstrate the free body diagram and the motion equation of the system. b) Calculate the acceleration of m1 and the angular acceleration of the pulley. c) Calculate the work W done on the pulley for the period t = 0 to t = t1.

3. A box (m=100 kg.) is subjected to a force F = 450 N. The static and kinetic friction coefficients between mass and the floor are 0.35 and 0.25, respectively. %3D 0.3 m F h • Write the equation of motion in horizontal direction. • Write the equation of motion in vertical direction. Write the moment equation. Find the maximum h such that the box does not starts to rotate. 0.4 m

7) A merry-go-round with a moment of inertia equal to 1210 kg⋅m2 and a radius of 2.7 m rotates with negligible friction at 1.72 rad/s . A child initially standing still next to the merry-go-round jumps onto the edge of the platform straight toward the axis of rotation causing the platform to slow to 1.29 rad/s . Part A What is her mass? Express your answer using two significant figures.

2) In the pulley/string system shown at the right, the radius of pulley A is 2.0 cm and the radius of pulley B is 5.0 cm. The block is moving downwards with a speed of 2.0m/s. a) What is the angular speed of pulley A? b) What is the angular speed of pulley B? A B

3.6% Resources veUp? V Hint A spherical shell of radius 2.84 cm and a sphere of radius 6.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are have the same total kinetic energy, what should the ratio of the spherical shell's angular speed @shi to the sphere's angular speed wsph be? Wshl @sph about us privacy policy terms of use contact us help careers

The bottle rests at a distance r = 5 ft from the center of the horizontal platform. The coefficient of static friction between the bottle and the platform is us = 0.2. Assume the angular motion of the platform is slowly increasing. (Figure 1) Figure Motion 1 of 1 Part A Determine the maximum speed that the bottle can attain before slipping. Express your answer to three significant figures and include the appropriate units. Vmax= Submit 0 μᾶ Value Request Answer ft/s < Return to Assignment Provide Feedback ?

A solid cylinder on a horizontal table is connected to a block via a light, rigid string. Draw free body diagram for each of the object cylinder = mass 1.2 kg, radius 5.0 cm pulley = mass 0.80 kg, radius 10.0 cm block = mass 200 g 1) list the dynamic and kinematic equations that related to all three objects. 2) find the acceleration of the falling block 3) find the angular acceleration of the cylinder and the friction force on it

876/variants/984063/take/8/ Question 9 The physics students move on to racing lab supplies down a ramp. A solid disc and a hollow hoop with equal mass and equal radius are released at the same time. Which item will win the race? Explain your reasoning using at least 2 vocabulary terms from this unit. Answer using 2 to 4 complete sentences. H Normal 2 Ix A A Enter your answer here 中 BIUS √x 4

Physics 45 Week 9 Worksheet Initial Final i CA-12 A nutty physics professor is sitting on a stool that spins. The professor (including his arms) and the stool have a moment of inertia about the stool axis of 5.00kgm. The professor is sitting on the stool with his feet off of the ground holding a 5kg mass in each hand at arms length (1.00m) from the axis of rotation as he spins 1 revolution every 2 seconds as shown to the right labelled "Initial". The 5kg masses can be regarded as point masses. a) If there is no friction in the stool axle and there is no air resistance, what is the net torque on the nutty professor? b) As long as he doesn't touch the floor, what can you say about the angular momentum of the professor-stool-5kg-masses system? c) What is the initial moment of inertia of the professor-stool-5kg-masses system? d) If the professor pulls the 5kg masses in to a new position 10.0cm from the axis of rotation without touching the floor (or anything else), what can you say about…

Calculate by direct integration the moment of inertia of the shaded area about the x-axis. Solve, first, by using a horizontal strip having differential area and, second, by using a vertical strip of differential area. 4.9" Answer: Ix- 4.5" in.4

Applications Passengers on this amusement ride are subjected to curvilinear translation since the vehicle moves in a circular path but always remains upright. If the angular motion of the rotating arms is known, how can we determine the velocity and acceleration experienced by the passengers? Does each passenger feel the same acceleration? W.Wang

Explain the following, using words and equations:1. Factors/parameters that affect the calculation of moment of inertia 2. Newton’s Second Law for Rotation

A dentist using a dental drill brings it from rest to maximum operating speed of 339,000 rpm in 2.0 s. Assume that the drill accelerates at a constant rate during this time. (a) What is the angular acceleration of the drill in rev/s?? |rev/s² (b) Find the number of revolutions the drill bit makes during the 2.0 s time interval. rev Additional Materials O Reading

Q1) The concrete pier P is being lowered by the pulley and cable arrangement shown. If points A and B have velocities of 0.4 m/s and 0.2 m/s, respectively, compute the velocity of P, the velocity of point C for the instant represented, and the angular velocity of the pulley. 100 mm 200 mm P

The ice cream cone shown below can be approximated as follows: Scoop on top uniform solid sphere (M1 = 0.027 kg and R1 = 0.03 m) waffle cone base= cylinder (M2 = 0.038 kg and R2 = 0.01 m), which is uniform and solid also (it's filled with ice cream!) M. R, R, M. '2 If this entire ice cream cone were to be rotated about the axis shown, Rotational Inertia: a.) What would the the rotational inertia (I) of: scoop on top: I1 kg-m2 cone base: I, : kg-m2 the whole ice cream cone: Itot kg-m2 b.) Your friend Bob proposes that you can do this calculation more easily. He condenses the entire ice cream cone into a point mass located at the its center of mass, then uses the point mass formula (I=mr2). What would be the distance "r" that he would use, and the rotational inertia that would result from his calculation? r =

Problem 6 - Rolling without slipping A solid ball of uniform density with mass M and radius R rolls without slipping on an incline that makes an angle of 0 with the horizontal, as shown in Fig.6. Recall that the 2MR2 moment of inertia of a solid ball about an axis passing through its center is Icm = 5 ст a) Draw an "extended" free body diagram of the ball indicating where every force acts on the ball. b) What is the angular acceleration of the ball? K-D- c) How fast is the ball's center of mass moving after it has rolled a distance D along the ramp, starting from rest? d) What is the minimum value of the coefficient of static friction u, between the ball and the ramp? e) At any moment in time, what fraction of the ball's total kinetic energy is the rotational about the ball's center of mass? kinetic Figure 6 energy

Dynamics II: Motion in a Plane 8-5 CHAPTER 8 11. A coin of mass m is placed distance r from the center of a turntable. The coefficient of static friction PSS between the coin and the turntable is us. Starting from rest, the turntable is gradually rotated faster and faster. At what angular velocity does the coin slip and "fly off"? a. Begin with a pictorial representation. Draw the turntable both as seen from above and as an edge 8.1 view with the coin on the left side coming toward you. Label radius r, make a table of known information, and indicate what you're trying to find. OnT Tadiuset Mass z m fz els N b. What direction does f point? Explain. c. What condition describes the situation just as the coin starts to slip? Write this condition as a mathematical statement. d. Now draw a free-body diagram of the coin. Following Problem Solving Strategy 8.1, draw the free- body diagram with the circle viewed edge on, the r-axis pointing toward the center of the circle, and the z-axis…

Constants I P A0.70-m-diameter solid sphere can be rotated about an axis through its center by a torque of 13.0 m- N which accelerates it uniformly from rest through a total of 180 revolutions in 15.0 s. Part A What is the mass of the sphere? Express your answer using two significant figures. ΑΣΦ M%3= kg Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Provide Feedback P Pearson Copyright © 2020 Pearson Education Inc. All rights reserved. Terrms of Use | Privacy Policy | Permissions | Contact U | MacBook Air

Ian is spinning a basketball with a radius of 12.13cm on the top of his finger. Determine the mass of the ball if it's moment of inertia is 5.568 x 10^-3 kg.m^2. Solve with solution

A weight is tied to a rope that is wrapped around a pulley. The pulley is initially rotating counterclockwise and is pulling the weight up. The tension in the rope creates a torque on the pulley that opposes this rotation. a) On the axes below, draw a graph of the angular velocity versus time for the period from the initial instant shown until the weight comes back down to the same height. Take the initial angular velocity as positive. b) Draw a graph of the angular acceleration versus time for the same time period.