HW13-post: Angular Momentum, Statics Begin Date: 3/28/2024 12:01:00 AM -- Due Date: 4/11/2024 11:59:00 PM End Date: 4/13/2024 11:59:00 PM
(11%) Problem 9: A uniform plank of length L and mass m is placed on a fulcrum with its
midpoint to the right of the contact point, as shown. The right end of the plank rests on the ground
such that the plank makes an angle of phi with the ground. The left end of the plank is a distance d
from the contact point. A force of magnitude F is applied to the left end of the plank in a direction
that is perpendicular to it.
33% Part (a) Write an expression for the minimum value of F such that the right end of the plank just lifts off the ground. Your answer will be in terms of d,
L,m,phi , and g. Before submitting your answer, please make sure that you check its dimensions (units).
F=
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33% Part (b) The plank has a length of 3.29m, a mass of 40.7kg and is situated at an angle of 24.5deg above the horizontal. If the fulcrum is in contact with the
board a distance of 0.51d from the left end, calculate the minimum force, in units of newtons, on the left end of plank when the plank just lifts off of the ground.
33% Part (c) At any point while solving this problem did you check that the dimensions of your solution were correct ("check your units")? [Please answer
honestly - you'll receive full credit either way]
HW13-post: Angular Momentum, Statics Begin Date: 3/28/2024 12:01:00 AM -- Due Date: 4/11/2024 11:59:00 PM End Date: 4/13/2024 11:59:00 PM
11%) Problem 9: A uniform plank of length L and mass m is placed on a fulerum with its midpoint to the right of the contact point, as shown. The right end of the plank rests on the ground such that the plank makes an angle of with the ground. The left end of the plank is a distance d from the contact point. A force of magnitude F is applied to the left end of the plank in a direction that is perpendicular to it.
Midpoint
33% Part (a) Write an expression for the minimum value of F such that the right end of the plank just lifts off the ground. Your answer will be in terms of d L, m, , and g. Before submitting your answer, please make sure that you check its dimensions (units). Grade Summary F= Deductions 0% Potential 100%
cos(a) sin() B p L
cos() sin() > g m
cos() sin() e h n
7
8 9
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33% Part (b) The plank has a length of 3.29 m, a mass of 40.7 kg and is situated at an angle of 24.5 above the horizontal. If the fulcrum is in contact with the board a distance of 0.51 d from the left end, calculate the minimum force, in units of newtons, on the left end of plank when the plank just lifts off of the ground. 33% Part (c) At any point while solving this problem did you check that the dimensions of your solution were correct (check your units)? [Please answer honestly - you'll receive full credit either way]
