Hanging from the ceiling over a baby bed, well out of baby's reach, is a string with plastic shapes, as shown here. The string is taut (there is no slack), as shown by the straight segments. Each plastic shape has the same mass m, and they are equally spaced by a distance d, as shown. The angles labeled ? describe the angle formed by the end of the string and the ceiling at each end. The center length of sting is horizontal. The remaining two segments each form an angle with the horizontal, labeled ?. Let T1 be the tension in the leftmost section of the string, T2 be the tension in the section adjacent to it, and T3 be the tension in the horizontal segment. a). Find an equation for the tension in each section of the string in terms of the variables m, g, and theta. b). Find the angle phi in terms of the angle theta. c). If theta = 6.27°, what is the value of phi (in degrees)? d). Find the distance x between the endpoints in terms of d and ?.
Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
Hanging from the ceiling over a baby bed, well out of baby's reach, is a string with plastic shapes, as shown here. The string is taut (there is no slack), as shown by the straight segments. Each plastic shape has the same mass m, and they are equally spaced by a distance d, as shown. The angles labeled ? describe the angle formed by the end of the string and the ceiling at each end. The center length of sting is horizontal. The remaining two segments each form an angle with the horizontal, labeled ?. Let T1 be the tension in the leftmost section of the string, T2 be the tension in the section adjacent to it, and T3 be the tension in the horizontal segment.
a). Find an equation for the tension in each section of the string in terms of the variables m, g, and theta.
b). Find the angle phi in terms of the angle theta.
c). If theta = 6.27°, what is the value of phi (in degrees)?
d). Find the distance x between the endpoints in terms of d and ?.
SOltuion:
as given that
Each plastic shape has the same mass m, and they are equally spaced by a distance d, as shown.
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