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 = 0.44. 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)Please use the interactive area below to draw the Free Body Diagram for this block, assuming it is in static equilibrium. If necessary, use Fs for the force of static friction, and Fk for the force of kinetic friction. 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.
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 = 0.44. 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)Please use the interactive area below to draw the Free Body Diagram for this block, assuming it is in static equilibrium. If necessary, use Fs for the
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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