Slippery slope context A building materials delivery company transports a stack of plywood on a pallet. The company makes the delivery with a truck whose rear box is tiltable. We are interested in knowing from what angle of inclination the plywood pallet will begin to slide downwards. Information The company has several pieces of information but does not know which will be relevant for this calculation. We know the mass of the plywood pallet, as well as its uncertainty. We know the coefficient of kinetic friction between the pallet and the box and its uncertainty. We also know the coefficient of static friction and its uncertainty. You will use the value g=(9.81±0.01)m/s^2; Schematization Draw a diagram of the plywood pallet. Draw your x and y axes. Draw and name each force on the paddle. Modelization Creates a model to determine the angle (with its uncertainty) where the plywood pallet is about to slide down, given the relevant parameters (they may not all be!). Then test your model with the following values: Total mass of the plywood pallet: (510±5.1)kg; Kinetic coefficient of friction: 0.32±0.03; Coefficient of static friction: 0.72±0.04;
Slippery slope
context
A building materials delivery company transports a stack of plywood on a pallet. The company makes the delivery with a truck whose rear box is tiltable. We are interested in knowing from what angle of inclination the plywood pallet will begin to slide downwards.
Information
The company has several pieces of information but does not know which will be relevant for this calculation.
We know the mass of the plywood pallet, as well as its uncertainty.
We know the coefficient of kinetic friction between the pallet and the box and its uncertainty.
We also know the coefficient of static friction and its uncertainty.
You will use the value g=(9.81±0.01)m/s^2;
Schematization
Draw a diagram of the plywood pallet. Draw your x and y axes. Draw and name each force on the paddle.
Modelization
Creates a model to determine the angle (with its uncertainty) where the plywood pallet is about to slide down, given the relevant parameters (they may not all be!).
Then test your model with the following values:
Total mass of the plywood pallet: (510±5.1)kg;
Kinetic coefficient of friction: 0.32±0.03;
Coefficient of static friction: 0.72±0.04;
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