Figure 9-23 shows an overhead view of three particles on which external forces act. The magnitudes and directions of the forces on two of the particles are indicated. What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is (a) stationary, (b) moving at a constant velocity rightward, and (c) accelerating rightward? Figure 9-23 Question 1.
Figure 9-23 shows an overhead view of three particles on which external forces act. The magnitudes and directions of the forces on two of the particles are indicated. What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is (a) stationary, (b) moving at a constant velocity rightward, and (c) accelerating rightward? Figure 9-23 Question 1.
Figure 9-23 shows an overhead view of three particles on which external forces act. The magnitudes and directions of the forces on two of the particles are indicated. What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is (a) stationary, (b) moving at a constant velocity rightward, and (c) accelerating rightward?
Figure 9-23 Question 1.
Expert Solution & Answer
To determine
To find:
a) the force acting on third particle when center of mass is stationary.
b) the force acting on third particle when center of mass is moving rightward with constant velocity.
c) the force acting on third particle when center of mass is accelerating rightward.
Answer to Problem 1Q
Solution:
a) Force acting on third particle when center of mass is stationary, F3=2N in the right direction.
b) Force acting on third particle when center of mass is moving rightward with constant velocity, F=2N in the right direction.
c) Force acting on third particle when center of mass is accelerating rightward, F3>2N in the right direction
Explanation of Solution
1) Concept:
We have to calculate the net force acting on the system.As the system contains three particles and the center of mass is to remain stationary, the net force acting on the system should be zero. Using this we can find the force acting on the third particle.
2) Formula:
FNet=∑F
3) Given:
i) F1=5N acting on particle 1 in the left direction
ii) F2=3N acting on particle 2 in the right direction
4) Calculation:
a) For the center of mass to be stationary, the net force acting on the system should be equal to zero.
FNet=∑F=0
FNet=-5+3+F3=0
F3=2N
So, F3=2N and the positive sign indicates that it should be in the right direction.
b) For the center of mass to move on the right with constant velocity, net force acting on the system should be zero.
FNet=∑F=0
FNet=-5+3+F3=0
F3=2N
So, F3=2N and positive sign indicates that it should be in right direction.
c) For the center of mass to move in the right hand direction with some acceleration
FNet=∑F>0
FNet=-5+3+F3>0
F3>2N in right direction.
So, for center of mass to accelerate rightward, we should have F3>2N in the right direction
Conclusion:
Considering the direction and magnitude of the acceleration of the center of mass, we can find the direction and magnitude of the net force acting on the third particle.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
A pendulum has a 0.4-m-long cord and is given a tangential velocity of 0.2 m/s toward the
vertical from a position 0 = 0.3 rad.
Part A
Determine the equation which describes the angular motion.
Express your answer in terms of the variable t. Express coefficients in radians to three significant figures.
ΜΕ ΑΣΦ
vec
(t)=0.3 cos (4.95t) + 0.101 sin (4.95t)
Submit Previous Answers Request Answer
× Incorrect; Try Again; 6 attempts remaining
Part A
■Review
The uniform 150-lb stone (rectangular block) is being turned over on its side by pulling the
vertical cable slowly upward until the stone begins to tip.
(Figure 1)
If it then falls freely (T = 0) from an essentially balanced at-rest position, determine the speed at which the corner A strikes the pad at B. The stone does not slip at its corner C as it falls. Suppose that height of the stone is
L = 1.2 ft.
Express your answer to three significant figures and include the appropriate units.
?
ft
VA 10.76
S
Submit Previous Answers Request Answer
× Incorrect; Try Again; 6 attempts remaining
Consider the circuit shown in the figure. The battery has emf ε = 69 volts and negligible internal resistance. The inductance is L = 0.4 H and the resistances are R 1 = 12 Ω and R 2 = 9.0 Ω. Initially the switch S is open and no currents flow. Then the switch is closed. After leaving the switch closed for a very long time, it is opened again. Just after it is opened, what is the current in R 1?
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.