A toy cart of mass m1 moves on frictionless wheels as it is pulled by a string
Question:
(a) A horizontal surface;
(b) Up a ramp of angle θ above the horizontal. In both cases, the string is parallel to the surface on which the cart rolls.
Step by Step Answer:
Use Newtons second law Let T be the maximum tension ...View the full answer
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
Related Video
Static friction and kinetic friction are two types of friction that occur when two objects are in contact with each other. Static friction is the force that must be overcome to initiate motion between two surfaces that are in contact with each other but are not moving relative to each other. It is caused by the interlocking of rough surfaces at the microscopic level, and it increases as the force pushing the surfaces together increases. Once motion between the surfaces starts, the static friction is no longer present. Kinetic friction, also known as sliding friction, is the force that opposes the motion of two surfaces that are in contact with each other and are moving relative to each other. It is caused by the rubbing of the surfaces against each other and the resistance of the molecules in the surfaces to being moved. Kinetic friction is generally less than static friction, but it can still be a significant force, especially at high speeds. Both static and kinetic friction can be quantified using a coefficient of friction, which is a dimensionless number that represents the ratio of the frictional force between two surfaces to the normal force (the force perpendicular to the surfaces). The coefficient of static friction is typically greater than the coefficient of kinetic friction for a given pair of surfaces, because it takes more force to overcome the interlocking of the surfaces at rest than to maintain motion once it has started.
Students also viewed these Mechanics questions
-
As an extension of Ex. 3.10, let the plate and cart be unrestrained, with frictionless wheels. Derive (a) the equation of motion for cart velocity Vc (t); and (b) the time required for the cart to...
-
Ann (mass 50 kg) is standing at the left end of a 15-m-long, 500 kg cart that has frictionless wheels and rolls on a frictionless track. Initially both Ann and the cart are at rest. Suddenly, Ann...
-
An object of mass m1 = 9.00 kg is in equilibrium while connected to a light spring of constant k = 100 N/m that is fastened to a wall as shown in Figure P15.52a. A second object, m2 = 7.00 kg, is...
-
Suppose that a typical taxpayer has a marginal personal income tax rate of 35 percent. The nominal interest rate is 13 percent, and the expected inflation rate is 8 percent. a. What is the real...
-
Oregon Exchange Company completed the following long-term investment transactions during 2010: 2010 May 12 Purchased 17,500 shares, which make up 30% of the common stock of Woburn Corporation at...
-
TOPP Company is planning to invest $20,000,000 in an expansion program expected to increase income before interest and taxes by $4,000,000. TOPP currently is earning $5 per share on 2,000,000 shares...
-
Assuming that no questions are left unanswered, in how many ways can a ten-question yes or no quiz be answered?
-
Madison Graphics had the following notes receivable transactions: May 1 Sold merchandise on account to L. Carney, $5,600. 20 L. Carney gave a $5,600, 90-day, 12% note to extend time for payment. 30...
-
In 1916, Great Britain and the United States agreed that certain species of birds were tremendously valuable to the environment but were at risk of becoming extinct. If you are curious why Great...
-
A firm cleans chemical tank cars in the Bay St. Louis area. With standard equipment, the firm typically cleaned 70 chemical tank cars per month. They utilized 10 gallons of solvent, and two employees...
-
A crate of books is to be put on a truck by rolling it up an incline of angle using a dolly. The total mass of the crate and the dolly is m. Assume that rolling the dolly up the incline is the same...
-
A helicopter of mass M is lowering a truck of mass m onto the deck of a ship. (a) At first, the helicopter and the truck move downward together (the length of the cable doesn't change). If their...
-
Find the mold constant B and exponent n in Chvorinov's rule using the following data and a log-log plot. Shape Dimensions Solidification Time (s) (cm) Cylinder Radius-10, Length-305000 Sphere Radius...
-
A 4 3 N force is applied to the end of a 2 3 cm wrench. If the magnitude of the torque on the bolt at the other end of the wren h is 6 Nm , determine the angle between the force and the handle of the...
-
Suppose the market demand for a good is given by P = 90 - 3Q. Also, there is an incumbent firm already in the market, and a potential entrant. Let's call the incumbent firm Firm 1, and the potential...
-
2.4 Find the expression for the potential difference between two points a and b out from a very large charged plastic sheet with charge o(C/m) (b>a). The sheet is in air.
-
Attended our industry's showcase conference last month and learned that Chester is updating their pricing strategy for their product Cure. Early intel suggests that they'll drop the price $1.80....
-
Prepare a classified balance sheet as of December 3 1 , 2 0 2 2 These items are taken from the financial statements of Cheyenne Corporation for 2022. Retained earnings (beginning of year) Utilities...
-
Outline, but do not implement, a recursive solution for finding the kth smallest element in an array. Look at the elements that are less than the initial element. Suppose there are m of them. How...
-
Vectors are drawn from the center of a regular n-sided polygon in the plane to the vertices of the polygon. Show that the sum of the vectors is zero.
-
Two skaters, one with mass 65 kg and the other with mass 40 kg, stand on an ice rink holding a pole of length 10 m and negligible mass. Starting from the ends of the pole, the skaters pull themselves...
-
A stone is dropped at t - 0. A second stone, with twice the mass of the first, is dropped from the same point at t = 100ms. (a) How far below the release point is the center of mass of the two stones...
-
A 1000 kg automobile is at rest at a traffic signal. At the instant the light turns green, the automobile starts to move with a constant acceleration of 4.0m/s2. At the same instant a 2000 kg truck,...
-
12. An amusement park ride swings riders around a 25 meter radius circle at a speed of 16 m/s. What is the centripetal acceleration in meters per second-squared felt by each rider? (Answer with 3...
-
For the image matrix given , use the Sobel horizontal edge detector to 1 2 -2 detect horizontal edges. Sobel matrix for horizontal edges is 0 0 104
-
What role does a resource allocation graph play in identifying potential deadlocks, and how can it be utilized to devise strategies for deadlock prevention ?
Study smarter with the SolutionInn App