lab report 8

Subject: Dynamics of rigid bodies Topic: Relative motion Box final answer Auto like

262. The ball shooting mechanism from a pinball machine is shown. The motor provides the torque shown. The angular velocity of the mechanism is shown. Find the angular velocity of the mechanism and speed of the ball when t = 0.58 seconds. Assume the armature is very light and is frictionless. Name 064NM Nm 12 cm Mass=210 grams t=0 Angular velocity = 1.18 rad/s .064 Nm 092 Nm 27 cm t=0.58 sec. Angular velocity = ?

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A thin uniform rod has a length of 0.500 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.4 rad/s and a moment of inertia about the axis of 3.00×10-3 kg. m². A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of the rod. When the bug has reached the end of the rod and sits there, its tangential speed is 0.118 m/s. The bug can be treated as a point mass. Part A What is the mass of the rod? Express your answer with the appropriate units. mrod Submit Part B μA Value Units Request Answer What is the mass of the bug? Express your answer with the appropriate units.

Problem 4.8 for reference, i only need bottom half

A space station shaped like a giant wheel has a radius 98 m and a moment of inertia of 5.01 x 108 kg-m2. A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1 g. When 100 people move to the center of the station for a union meeting, the angular speed changes. What acceleration is experienced by the managers remaining at the rim? Assume that the average mass of each inhabitant is 65.0 kg. m/s2

A. The mechanism shown is used to feed cartons to a labeling machine. The drive shaft rotates clockwise. The ram weights 1.5 lb and the coefficient of friction between the ram and the machine is 0.2. Gravitational acceleration: g = 386 in/s². The weight of all other links is negligible. The linear ram acceleration is 5378 in/s² (horizontal direction, sense: to the left). 1. Draw the kinematic diagram. 2. For the instant shown, determine the torque required from the drive shaft to operate the ram. 3" -40° Connecting rod Ram

#5 A-D

A solid metal rod of mass M and length L is fixed at its left end and allowed to rotate. When released from rest, the bar swings through position B. The moment of inertia of a rod rotating about one end is I =ml? where L is the length of the bar. 1) Derive an expression for the angular acceleration of the bar the instant the bar is released. Express your answer in terms of M, L and other physical constants. 2) The rod is released and swings from position A through position B. As the rod swings from position A to position B, its angular acceleration, a, . increases decreases remains the same Justify your answer.

ne Reader 22 / 23 100% COURSE: MIME3320 MECHANICS OF MACHINE 1 Numerical Exercises Q1. The flywheel of steam engine has a radius of gyration of 1m and mass 2500kg. The starting torque of the steam engine is 1500 N-m and may be assumed to be constant. Determine 1. Angular acceleration of the fly wheel 2. Kinetic energy of the flywheel after 10 seconds from the start. anes w nrm Q2. A flywheel weighing 50KN and having radius of gyration 1m looses speed from 400rpm to 280 rpm in 2minutes. Calculate 1. The retarding torque acting on it. 2. Change in its kinetic energy during the above period.

A mass of 1.5 kg is suspended from a swivel point by a string of 1.2m long. The mass revolves in a horizontal circular path at 50 revs/min. What is the tension in the string and what is the radius of rotation

16. A 150-ft-diameter Ferris wheel completes one revolution in 45 seconds. (a) How far does a chair on the Ferris wheel travel in one revolution? (b) What is the linear speed of the chair in ft/s? (c) What is the angular Speed of the chair in rad/s? SECTION 3.1 RATE IN MECHANICAL SYSTEMS 137

Dynamics

Item 26 A thin light string is wrapped around the outer rim of a uniform hollow cylinder of mass 4.95 kg having inner and outer radii as shown in the figure (Figure 1). The cylinder is then released from rest. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Acceleration of a primitive yo-yo. Figure 20.0 cm 35.0 cm 1 of 1 Part A How far must the cylinder fall before its center is moving at 6.92 m/s? Express your answer in meters. IVE ΑΣΦ ? d = Submit m Request Answer Part B If you just dropped this cylinder without any string, how fast would its center be moving when it had fallen the distance in part A? Express your answer in meters per second. [V—| ΑΣΦ ? v= Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Provide Feedback m/s