AMATH 1B Additional Problems 1 week 2 1. The uniform slender bar has an ideal roller at its upper end A. If the coefficient of static friction at B is μ=0.50, determine the minimum angle for which equilibrium is possible. (Ans. 45°). B-0.25, 0.50 2. The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required to move the car if the back brakes are locked, and the front wheels are free to roll. Take μ = 0.3. (Ans. 2.76 KN) 3. A stepladder consisting of two legs pinned together at C is resting on a rough floor. Will a 750 N worker be able to change the light bulb if he is re- quired to climb to a height of 1.3 m? The uniform legs AC and BC weigh 100 N and 80 N, respec- tively. The coefficient of static friction at A and B is 0.4. 1.3 m 60 60 -3.2 m 4. Determine the range of weights W for which the 100 N block is in equilibrium. All pulleys and wheels have negligible friction. P,-0.30 M-0.25 100 N 100 20°

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Chapter1: Functions And Models
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AMATH 1B Additional Problems 1 week 2
1. The uniform slender bar has an ideal roller at its
upper end A. If the coefficient of static friction at
B is μ=0.50, determine the minimum angle for
which equilibrium is possible. (Ans. 45°).
B-0.25, 0.50
2. The automobile has a mass of 2 Mg and center of
mass at G. Determine the towing force F required
to move the car if the back brakes are locked, and
the front wheels are free to roll. Take μ = 0.3.
(Ans. 2.76 KN)
3. A stepladder consisting of two legs pinned together
at C is resting on a rough floor. Will a 750 N
worker be able to change the light bulb if he is re-
quired to climb to a height of 1.3 m? The uniform
legs AC and BC weigh 100 N and 80 N, respec-
tively. The coefficient of static friction at A and
B is 0.4.
1.3 m
60
60
-3.2 m
4. Determine the range of weights W for which the
100 N block is in equilibrium. All pulleys and
wheels have negligible friction.
P,-0.30
M-0.25
100 N
100
20°
Transcribed Image Text:AMATH 1B Additional Problems 1 week 2 1. The uniform slender bar has an ideal roller at its upper end A. If the coefficient of static friction at B is μ=0.50, determine the minimum angle for which equilibrium is possible. (Ans. 45°). B-0.25, 0.50 2. The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required to move the car if the back brakes are locked, and the front wheels are free to roll. Take μ = 0.3. (Ans. 2.76 KN) 3. A stepladder consisting of two legs pinned together at C is resting on a rough floor. Will a 750 N worker be able to change the light bulb if he is re- quired to climb to a height of 1.3 m? The uniform legs AC and BC weigh 100 N and 80 N, respec- tively. The coefficient of static friction at A and B is 0.4. 1.3 m 60 60 -3.2 m 4. Determine the range of weights W for which the 100 N block is in equilibrium. All pulleys and wheels have negligible friction. P,-0.30 M-0.25 100 N 100 20°
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