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.
Problem Weight is: 1  Tries 0/6 
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.
Problem Weight is: 1  Tries 0/6 

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?
Problem Weight is: 1  Tries 0/6 
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?
Problem Weight is: 1  Tries 0/6 

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 rad/s)t  (20.0 rad/s2)t2 – (1.50 rad/s3)t3.
a. At what time is the angular velocity of the motor shaft zero?
b. Calculate the angularacceleration at the instant that the motor shaft has zero angular velocity.
c. How many revolutions does the motor shaft turn through between the time when the current is reversed and the instant when the angular velocity is zero?
d. How fast was the motor shaft rotating at t =0, when the current was reversed?
e. Calculate the average angular velocity for the time period from t = 0 to the time calculated in part a.
3. A wheel is rotating about an axis that is in the z direction. The angular velocity is – 6.00 rad/s at t = 0, increases linearly with time, and is +8.00 m/s at t = 7.00 s. We have taken counterclockwise rotation to be positive.
a. Is the angularacceleration during this time interval positive or...
...all final answers.
PROBLEM NO.1 In the crank piston system shown, a piston P is connected to a crank AB (b 16 cm.) by a 2 kg slender rod B ( l 40 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 analysis that the angularacceleration of connecting rod BD is 1328.5 rad/s2 1.B) Show by kinematic analysis that the acceleration of the mass center G of connecting rod BD has the horizontal and vertical components of acceleration aGx = 188.60 m/s2 and aGy = 249.42 m/s2; respectively. 1.C) Draw clearly the FBD = EFD diagram for the connecting rod BD. Label all points and vectors properly. 1.D) Determine the force acting at point B. 1.E) Determine both the horizontal and vertical components of the force acting on the bar BD at hinge D. PROBLEM NO.2 A uniform slender bar AB of mass m is suspended as shown from a uniform disk of the same mass m. Neglecting the effect of friction, determine the accelerations of points A and B...
...
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, mass 5 kg, and velocity 8 m/s. Then click Play and observe the motion of the puck.
1. The puck in the Gizmo is traveling at a constant speed, but it is NOT traveling at a constant velocity. Explain why.
_______________________________________________________________
(Hint: Velocity is a vector quantity that includes both a magnitude and a direction.)
2. Because the velocity of the puck is changing (because its direction is changing), the puck must be experiencing an acceleration. Click BAR CHART and choose Acceleration from the dropdown menu. Check Show numerical values. The leftmost bar shows the magnitude of the acceleration, or a. (The other two bars show the x and ycomponents of the acceleration, ax and ay.) What is the value of a?
Jot this value down, along with radius = 8 m, in the table below.
3. Keeping velocity set to 8 m/s, set radius to 4 m. (To quickly set a slider to a value, typing the number in the...
...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 on a “frictionless track” where it was pulled by a string bearing mass over the edge of a table. In the first relationship tested, applied force and acceleration, mass was moved from being on the cart to being on the end of the pulley. My partners and I measured the acceleration with the LabQuest computer every time the cart was released. In order to test the relationship between mass and acceleration, my group added different amounts of mass to the cart and measured the changes in acceleration. From all of the data collected we concluded that force and acceleration have a direct, linear relationship. We also determined that mass and acceleration have an inverse, quadratic relationship.
Background:
When my lab partners and I started this lab, we came in knowing some background information on what we were doing and the...
...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 understandingangular momentum.<br><br>Torque is the angular "version" of force. The units for torque are in Newtonmeters. Torque is observed when a force is exerted on a rigid object pivoted about an axis and. This results in the object rotating around that axis. "The torque ? due to a force F about an origin is an inertial frame defined to be ? ? r x F"1 where r is the vector position of the affected object and F is the force applied to the object.<br><br>To understand angular momentum easier it is wise to compare it to the less complex linear momentum because they are similar in many ways. "Linear momentum is the product of an object's mass and its instantaneous velocity. The angular momentum of a rotating object is given by the product of its angular velocity and its moment of inertia. Just as a moving object's inertial mass is a measure of its resistance to linear acceleration, a rotating object's...
...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 of attraction towards the center of the earth. Because of this, we are able to calculate acceleration.
II. Purpose:
The purpose of this experiment was to determine the relationship between the angle of an incline and the acceleration of a cart rolling down a ramp. Once our results were recorded, we were able to examine them to determine if our results were based upon gravity’s natural pull.
III. Procedure/Materials
First, we began by setting up our ramp and cart. We then used a motion detector and repeated our experiment five different times each with a different incline to roll the cart down. We recorded data after each time.
Lab Quest
Track
Dynamics Kit
Ring Stand
Vernier Motion Detector
Meter Stick
Calculator
IV. Data
Height, h (cm)
Length, x (cm)
Sin Ѳ
Acceleration Trial 1
(m/s2)
Acceleration Trial 2
(m/s2)
Acceleration Trial 3
(m/s2)
Average Acceleration
(m/s2)
10...
...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 object.
Aim: I will try to answer the question “How does changing the mass of an object change its acceleration?” which is to find the relationship between the mass of an object and the acceleration rate.
Hypothesis: I think that a trolley with a large mass will accelerate slower than a trolley with a small mass.
Apparatus: Ramp, blocks, trolley, string, masses (50g, 100g, 1kg), pulley, stop clock, sticky tape, laptop, data logger, two light gates
(Labeled diagram indicated below)
(Photo by: “Yenka simulations – Road Science”, http://mathsci.werribeesc.vic.edu.au/science10/Yenka/10_trolley_acceleration.html)
Method for collection of data:
Independent variable  Mass of trolley, steepness of the ramp
Dependent variable  Acceleration, time taken
Constant variable  Temperature, slope, starting point, ending point, etc.
1. Fasten the pulley to one end...
... It's a hot summer and in the depths of the Toronto Transit Authority's lost and found, 17yearold Duncan is cataloging misplaced belongings. And between Jacob, the cranky old man who runs the place, and the endless dusty boxes overflowing with stuff no one will ever claim, Duncan has just about had enough. Then he finds a little leather book filled with the dark 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 decipher who the serial killer is and who are his intended victims before the serial killer strikes. Duncan is a bad kid that’s been in trouble with the law who has been sent to work at the Toronto Transit Commission's lost and found in order to complete his twomonths of community service. He and his friend Wayne were sentenced to community service after Wayne convinced Duncan to break into a new apartment building to steal an expensive toilet that they could sell to his uncle for some quick cash. The two teens end up getting caught when the toilet falls down the stairs and alerts the cop on duty that night.
At his new job,...