l TEW 9:44 AM 1) A box of mass m= 12kg lies on a flat surface. The coefficient of static friction is Hs = 0.50 and the coefficient of kinetic friction is µk = 0.30. Make sure you get the correct normal force for the situation at hand. It does not have to be equal to mg. a) How large should the force be to get the box moving? b) Once it is moving with this force, what is the acceleration of the box?

l TEW 9:44 AM 1) A box of mass m= 12kg lies on a flat surface. The coefficient of static friction is Hs = 0.50 and the coefficient of kinetic friction is µk = 0.30. Make sure you get the correct normal force for the situation at hand. It does not have to be equal to mg. a) How large should the force be to get the box moving? b) Once it is moving with this force, what is the acceleration of the box?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 46P: An aluminum block of mass m1 = 2.00 kg and a copper block of mass m2 = 6.00 kg are connected by a...

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An aluminum block of mass m1 = 2.00 kg and a copper block of mass m2 = 6.00 kg are connected by a light string over a frictionless pulley. They sit on a steel surface as shown in Figure P5.46, where = 30.0. (a) When they are released from rest, will they start to move? If they do, determine (b) their acceleration and (c) the tension in the string. If they do not move, determine (d) the sum of the magnitudes of the forces of friction acting on the blocks. Figure P5.46
Consider the three connected objects shown in Figure P5.43. Assume first that the inclined plane is frictionless and that the system is in equilibrium. In terms of m, g, and , find (a) the mass M and (b) the tensions T1 and T2. Now assume that the value of M is double the value found in part (a). Find (c) the acceleration of each object and (d) the tensions T1 and T2. Next, assume that the coefficient of static friction between m and 2m and the inclined plane is s and that the system is in equilibrium. Find (e) the maximum value of M and (f) the minimum value of M. (g) Compare the values of T2 when M has its minimum and maximum values. Figure P5.43
Jamal and Dayo are lifting a large chest, weighing 207 lb, by using the two rope handles attached to either side. As they lift and hold it up so that it is motionless, each handle makes a different angle with respect to the vertical side of the chest (Fig. P5.76). If the angle between Jamals handle and the vertical side is 25.0 and the angle between Dayos handle and the vertical side of the chest is 30.0, what are the tensions in each handle? FIGURE P5.76
Measuring coefficients of friction A coin is placed near one edge of a book lying on a table, and that edge of the book is lifted until the coin just slips down the incline as shown in Figure P4.82. The angle of the incline, C, called the critical angle, is measured. (a) Draw a free-body diagram for the coin when it is on the verge of slipping and identify all forces acting on it. Your free-body diagram should include a force of static friction acting up the incline. (b) Is the magnitude of the friction force equal to sn for angles less than C? Explain. What can you definitely say about the magnitude of the friction force for any angle c? (c) Show that the coefficient of static friction is given by s = tan c. (d) Once the coin starts to slide down the incline, the angle can be adjusted to a new value c c such that the coin moves down the incline with constant speed. How does observation enable you to obtain the coefficient of kinetic friction? Figure P4.82
The United States possesses the ten largest warships in the world, aircraft carriers of the Nimitz class. Suppose one of the ships bobs up to float 11.0 cm higher in the ocean water when 50 fighters take off from it in a time interval of 25 min, at a location where the free-fall acceleration is 9.78 m/s2. The planes have an average laden mass of 29 000 kg. Find the horizontal area enclosed by the waterline of the ship.
The person in Figure P5.6 weighs 170 lb. As seen from the front, each light crutch makes an angle of 22.0 with the vertical. Half of the persons weight is supported by the crutches. The other half is supported by the vertical forces of the ground on the persons feet. Assuming that the person is moving with constant velocity and the force exerted by the ground on the crutches acts along the crutches, determine (a) the smallest possible coefficient of friction between crutches and ground and (b) the magnitude of the compression force in each crutch. Figure P5.6
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a 12.0 kg box is sitting motionless on a plane, which is tilted to an angle of 30 degrees. what must the minimum value of the coefficient of static friction between the box and the surface of the plane be, so that the box does not move? include a system diagram and a FBD in your solution,
Two blocksmịand m2 connected by a rope are being pulled by a horizontalforce F equal 160 N. Suppose that mį=10 kg,20 kg, and the coefficient of kineticm 2 =20 kg10 kgfriction between each block and the surfacem1is 0.52.A. Draw free-body diagrams of both objects.B. Find the acceleration of the systemC. Find the tension in the ropeD. What is the distance that the system ( two masses) will travel if youknow that are started from rest and final velocity is 4.5 m/sec(B) a= { F