SSM A massless rigid rod of length L has a ball of mass m attached to one end (Fig. 8-68). The other end is pivoted in such a way that the ball will move in a vertical circle. First, assume that there is no friction at the pivot. The system is launched downward from the horizontal position A with initial speed v 0 . The ball just barely reaches point D and then stops. (a) Derive an expression for v 0 in terms of L, m , and g. (b) What is the tension in the rod when the ball passes through B ? (c) A little grit is placed on the pivot to increase the friction there. Then the ball just barely reaches C when launched from A with the same speed as before. What is the decrease in the mechanical energy during this motion? (d) What is the decrease in the mechanical energy by the time the ball finally comes to rest at B after several oscillations? Figure 8-68 Problem 87.
SSM A massless rigid rod of length L has a ball of mass m attached to one end (Fig. 8-68). The other end is pivoted in such a way that the ball will move in a vertical circle. First, assume that there is no friction at the pivot. The system is launched downward from the horizontal position A with initial speed v 0 . The ball just barely reaches point D and then stops. (a) Derive an expression for v 0 in terms of L, m , and g. (b) What is the tension in the rod when the ball passes through B ? (c) A little grit is placed on the pivot to increase the friction there. Then the ball just barely reaches C when launched from A with the same speed as before. What is the decrease in the mechanical energy during this motion? (d) What is the decrease in the mechanical energy by the time the ball finally comes to rest at B after several oscillations? Figure 8-68 Problem 87.
SSM A massless rigid rod of length L has a ball of mass m attached to one end (Fig. 8-68). The other end is pivoted in such a way that the ball will move in a vertical circle. First, assume that there is no friction at the pivot. The system is launched downward from the horizontal position A with initial speed v0. The ball just barely reaches point D and then stops. (a) Derive an expression for v0 in terms of L, m, and g. (b) What is the tension in the rod when the ball passes through B? (c) A little grit is placed on the pivot to increase the friction there. Then the ball just barely reaches C when launched from A with the same speed as before. What is the decrease in the mechanical energy during this motion? (d) What is the decrease in the mechanical energy by the time the ball finally comes to rest at B after several oscillations?
For each part make sure to include sign to represent direction, with up being positive and down being negative.
A ball is thrown vertically upward with a speed of 30.5 m/s.
A) How high does it rise? y=
B) How long does it take to reach its highest point? t=
C) How long does it take the ball return to its starting point after it reaches its highest point? t=
D) What is its velocity when it returns to the level from which it started? v=
Four point charges of equal magnitude Q = 55 nC are placed on the corners of a rectangle of sides D1 = 27 cm and D2 = 11cm. The charges on the left side of the rectangle are positive while the charges on the right side of the rectangle are negative. Use a coordinate system where the positive y-direction is up and the positive x-direction is to the right.
A. Which of the following represents a free-body diagram for the charge on the lower left hand corner of the rectangle?
B. Calculate the horizontal component of the net force, in newtons, on the charge which lies at the lower left corner of the rectangle.Numeric : A numeric value is expected and not an expression.Fx = __________________________________________NC. Calculate the vertical component of the net force, in newtons, on the charge which lies at the lower left corner of the rectangle.Numeric : A numeric value is expected and not an expression.Fy = __________________________________________ND. Calculate the magnitude of the…
Point charges q1=50.0μC and q2=-35μC are placed d1=1.0m apart, as shown.
A. A third charge, q3=25μC, is positioned somewhere along the line that passes through the first two charges, and the net force on q3 is zero. Which statement best describes the position of this third charge?1) Charge q3 is to the right of charge q2. 2) Charge q3 is between charges q1 and q2. 3) Charge q3 is to the left of charge q1. B. What is the distance, in meters, between charges q1 and q3? (Your response to the previous step may be used to simplify your solution.)Give numeric value.d2 = __________________________________________mC. Select option that correctly describes the change in the net force on charge q3 if the magnitude of its charge is increased.1) The magnitude of the net force on charge q3 would still be zero. 2) The effect depends upon the numeric value of charge q3. 3) The net force on charge q3 would be towards q2. 4) The net force on charge q3 would be towards q1. D. Select option that…
Chapter 8 Solutions
Fundamentals Of Physics 11e Student Solutions Manual
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