A ball of weight W= 400 kN rests upon a smooth horizontal plane and hasattached to its center two strings AB and AC which pass over frictionless pulleysat B and C and carry loads P= 100 kN and Q= 200 kN, respectively.a) Determine the value of e that the string AC makes with the horizontalwhen the ball is in equilibrium.b) Compute the reaction between the ball and the plane.c) Calculate the tension of the string AC.Wz 400KNBQ= 200 kNP=100KN

Answered: Image /qna-images/answer/3932a157-2cc9-45df-a865-7018d9db2248.jpg

Answered: A ball of weight W= 400 kN rests upon a…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 60PQ: Use the position data for the block given in Table P16.59. Sketch a graph of the blocks a. position...

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Suppose you have a 0.750-kg object on a horizontal surface connected to a spring that has a force constant of 150 N/m. There is simple friction between the object and surface with a static coefficient of friction s=0.100 . (a) How far can the spring be stretched without moving the mass? (b) If the object is set into oscillation with an amplitude twice the distance found in part (a), and the kinetic coefficient of friction is k=0.0850 , what total distance does it travel before stopping? Assume it starts at the maximum amplitude.
Consider the position data for the block given in Table P16.59. What are the signs of the blocks velocity and acceleration at the first five times listed?
Use the position data for the block given in Table P16.59. Sketch a graph of the blocks a. position versus time, b. velocity versus time and c. acceleration versus time. There is no need to label the values of velocity or acceleration on those graphs. TABLE P16.59
A nylon string has mass 5.50 g and length L = 86.0 cm. The lower end is tied to the floor, and the upper end is tied to a small set of wheels through a slot in a track on which the wheels move (Fig. P14.56). The wheels have a mass that is negligible compared with that of the string, and they roll without friction on the track so that the upper end of the string is essentially free. At equilibrium, the string is vertical and motionless. When it is carrying a small-amplitude wave, you may assume the string is always under uniform tension 1.30 N. (a) Find the speed of transverse waves on the string. (b) The strings vibration possibilities are a set of standing-wave states, each with a node at the fixed bottom end and an anti-node at the free top end. Find the nodeantinode distances for each of the three simplest states. (c) Find the frequency of each of these states. Figure P14.56
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B 1.5m One end of a light inextensible string is attached to a particle A of mass 2kg. The other end of the string is attached to a second particle B of mass 2.5kg. Particle A is in contact with a rough plane inclined at e to the horizontal, where cos e =. The string is taut and passes over a small smooth pulley P at the top of the plane. The part of the string from A to P is parallel to a line of greatest slope of the plane. Particle B hangs freely below Pat a distance 1.5m above horizontal ground, as shown in the diagram. The coefficient of friction between A and the plane is u. The system is released from rest and in the subsequent motion B hits the ground before A reaches P. The speed of B at the instant that it hits the ground is 1.2ms. (a) For the motion before B hits the ground, show that the acceleration of B is 0.48 ms2. (b) For the motion before B hits the ground, show that the tension in the string is 23.3N. (c) Determine the value of u. After B hits the ground, A contimues…
B 1.5m One end of a light inextensible string is attached to a particle A of mass 2kg. The other end of the string is attached to a second particle B of mass 2.5kg. Particle A is in contact with a rough plane inclined at e to the horizontal, where cos e =. The string is taut and passes over a small smooth pulley P at the top of the plane. The part of the string from A to Pis parallel to a line of greatest slope of the plane. Particle B hangs freely below P at a distance 1.5m above horizontal ground, as shown in the diagram. The coefficient of friction between A and the plane is u. The system is released from rest and in the subsequent motion B hits the ground before A reaches P. The speed of B at the instant that it hits the ground is 1.2ms¬1. (a) For the motion before B hits the ground, show that the acceleration of B is 0.48 ms (b) For the motion before B hits the ground, show that the tension in the string is 23.3 N. (c) Determine the value of u. After B hits the ground, A continues…
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A uniform rod AB is 1.6 m long and weighs 16 N. It is suspended by strings AC and BD as shown. A block P weighing 96 N is attached at E, 0.30 m from A. The magnitude of the tension force of the string AC is: A B
и (N) 8 4 Review. The graph in Figure P7.20 specifies a functional relationship v (cm) 30 10 20 between the two vari- a ables u and v. (a) Find и dw. (b) Find u dv. (c) Find v du. Figure P7.20
Where must the force R be applied so that its external effect on the bar ABC will be the same as the combined F2 = 310 N effects of Fi and F2? What is the R magnitude of R? Fi : 730 N TLOU 100 mm :00 mm 250 mm B
A mass of 10 kilograms is attached to the end of a spring. A force of 4 Newtons stretches the spring 10 cm. The mass is pulled 15 cm above the equilibrium point and then released with an initial downward velocity of 20 cm/sec. Determine the displacement of the mass as a function of time. Spring constant: Differential Equation and initial conditions: whose consta 50 cm/sec. Determine Displacement of the mass as a function of time: Niem. The system i

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