A small cube (m=0.690 kg) is at a height of 297.0 cm up a frictionless track which has a loop of radius, R = 38.61 cm at the bottom. The cube starts from rest and slides freely down the ramp and around the loop. Find the velocity of the block when it is at the top of the loop.
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b) A uniform solid cylinder (m=0.690 kg, of small radius) is at the top of a similar ramp, which has friction. The cylinder starts from rest and rolls down the ramp without sliding and goes around the loop. Find the velocity of the cylinder at the top of the loop.
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Problem 3
A beam is supported only at one point, called the pivot point, as shown in the diagram. A block with mass m1 sits at the left end of the beam, a distance L1 from the pivot point. A block with mass m2 sits at the right end of the beam, a distance L2 from the pivot point. L2 > L1. Calculate all torques about the pivot point, remembering that positive is anticlockwise. Select Yes, No, Less than, Equal to, or Cannot tell.
If m1 * L2 = m2 * L1, is there a negative torque? Given particular values of L1, L2, and m1, is it always possible to choose m2 such that the masses have no angular acceleration? For m1 = m2, does the angular acceleration depend only on L1 / L2 ? (If it depends on the actual values of L1 and L2, put 'no'.) If m1 = m2, will the masses have an angular acceleration?
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If L1 = 0.490 m, L2 = 1.18m, m1 = 4.10 kg, and m2 = 3.40 kg, what is the angular acceleration of the beam?
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Problem 4
A 1.42 kg particle moves in the xy plane with a velocity of v = (4.26i  3.43j) m/s. Determine the particle's angular momentum when its position vector is r = (1.49i + 2.36j) m. Enter the kcomponent of the angular momentum with correct units.
...Calculate the angularacceleration as a function of time.
b. What is the initial value of the angular velocity?
c. Calculate the instantaneous value of the angular velocity at t =5.00 s and the average angular velocity for the time interval t = 0 to t = 5.00 s.
2. At t = 0 the current to a dc electric motor is reversed, resulting in an angular displacement of the motor shaft given by to θ(t) = (250...
...cm.). The mass of the crank AB can be considered to be very small. During a test of the system, crank AB is made to rotate with a constant angular velocity of 60 rad/s clockwise. There is no force applied to the face of the piston. When 60the distance between points D and A , d, is 43.081 cm and the angle of connecting rod BD from the horizontal is 30o. Consider this instant when 60, answer the following questions:
d
1.A) Show by kinematic...
...near the inner planets, Venus and Mercury.
Acceleration of an Object in Uniform Circular Motion
In this activity, you will explore the acceleration of an object that travels a circular path at constant speed. Motion of this kind is called uniform circular motion.
A. The Gizmotm shows both a top view and a side view of a puck constrained by a string, traveling a circular path on an air table. Be sure the Gizmo has these settings: radius 8 m,...
...Effects of Force and Mass on an Object’s Acceleration
Abstract: In this lab there were two principals investigated. The first was the relationship between applied force and acceleration. The second was the relationship between mass and acceleration. To study these two relationships, my partners and I used a dynamic cart with added mass on it. This cart was then attached to a pulley system...
...Angular momentum and its properties were devised over time by many of the great minds in physics. Newton and Kepler were probably the two biggest factors in the evolution of angular momentum. Angular momentum is the force which a moving body, following a curved path, has because of its mass and motion. Angular momentum is possessed by rotating objects. Understanding torque is the first step to understanding...
...Acceleration from Gravity on an Incline
I. Introduction:
Acceleration is the rate of change of the velocity of a moving body. Galileo was the first person to actually experiment and examine the concept of acceleration back in the seventeenth century. Acceleration can be determined by calculating the gravity and an incline. An incline is slope that is deviated between horizontal and vertical positions. Gravity is the natural force...
...Investigation between mass and acceleration
Stage 1  Planning
Title: Investigating acceleration – How does changing the mass of an object change its acceleration?
Introduction: As the speed of moving object and rate, the forces acting on the object, the mass of the object, and gravitational force of it might affect the acceleration, I will investigate about the mass of the...
...and dirty secrets of a twisted mind, a serial killer stalking his prey in the subway. And Duncan can't stop reading. What would you do with a book like that? How far would you go to catch a madman? This is the teaser to an amazing book I read “Acceleration” By: Graham McNamee.
Duncan the main leading character of the story discovers a journal belonging to what he thinks is a serial killer and he uses his knowledge of profiling as well as the clues from the journal to try to...
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