A block with a mass of m = 1.5 kg rests on a wooden plank. The coefficient of static friction between the block and the plank is μs = 0.64. One end of the board is attached to a hinge so that the other end can be lifted forming an angle, θ, with respect to the ground. Assume the x-axis is along the plank as shown in the figure. a)Assuming the x-direction is along the plank as shown, find an expression for the component of the force of gravity in the y-direction, Fgy, perpendicular to the plank in terms of given quantities and variables available in the palette. b)Write an expression for the maximum angle, θm, that the board can make with respect to the horizontal before the block starts moving. (Write in terms of the given parameters and variables available in the palette.) c) Solve numerically for the maximum angle, θm, in degrees.
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.
A block with a mass of m = 1.5 kg rests on a wooden plank. The coefficient of static friction between the block and the plank is μs = 0.64. One end of the board is attached to a hinge so that the other end can be lifted forming an angle, θ, with respect to the ground. Assume the x-axis is along the plank as shown in the figure.
a)Assuming the x-direction is along the plank as shown, find an expression for the component of the force of gravity in the y-direction, Fgy, perpendicular to the plank in terms of given quantities and variables available in the palette.
b)Write an expression for the maximum angle, θm, that the board can make with respect to the horizontal before the block starts moving. (Write in terms of the given parameters and variables available in the palette.)
c) Solve numerically for the maximum angle, θm, in degrees.
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