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I would suggest you take notes like this: FBD's for Equilibrium: Forces on a body are balanced. Equilibrium: a = 0 m/s2 FNET = ma = 0 N Constant speed (including stopped) and direction. TENSION IS CONSTANT THROUGHOUT A SUPPORT! Mass hanging from 1 support: 1,000 g = 1 kg Fg = mg Fg =(1 kg)(10 m/s2) Fg = 10 N 10 N FNET = 0 N Mass hanging from 2 supports unequally. 8 N 2 N 10 N 10 N FNET = 0 N Mass hanging from 2 supports equally. 5 N 5 N 7 N 3 N 10 N 10 N FNET = 0 N Trope Trope 10 N Mass hanging from 2 supports unequally. FNET = 0 N Equal angles Trope = Trope Trope + Trope > Fg FNET = 0 N Unequal angles Trope ≠ Trope Trope + Trope > Fg FNET = 0 N Trope Trope 10 N Equilibrium: Forces on a body are balanced. a = 0 N FNET = ma m a = 0 /s2 a Constant speed (including stopped) and direction. 1) Approximately, how much does the 1,000 g mass weigh? a) 1,000 g b) 10,000 N c) 10 N d) 1 kg 0 2 20 18 newtons 4 ? 16 14 A B C D 12 10 6 8 1 Start Question 1) Approximately, how much does the 1,000 g mass weigh? a) 1,000 g b) 10,000 N c) 10 N FBD: d) 1 kg 16 14 Mass 10 N hanging from 1 support: FNET = 0 N 0 2 20 18 newtons 4 10 N 6 12 10 8 1,000 g = 1 kg Fg = mg 2 Fg =(1 kg)(10 m/s ) Fg = 10 N I would suggest you take notes like this: FBD's for Equilibrium: Equilibrium: FNET = ma = 0 N Forces on a body are balanced. a = 0 m/s2 Constant speed (including stopped) and direction. Mass hanging from 1 support: FNET = 0 N 1,000 g = 1 kg Fg = mg Fg =(1 kg)(10 m/s2) Fg = 10 N 10 N 10 N 2) What do the scales read in following configuration: a) 10 N, 10 N b) 5 N, 5 N c) 10 N, 5N d) 6.66 N, 6.66 N 0 ? 2 20 18 newtons 4 A B C D 16 14 12 10 8 6 0 ? 2 20 18 newtons 4 16 14 12 10 6 8 2 Start Question 2) What do the scales read in following configuration: a) 10 N, 10 N b) 5 N, 5 N c) 10 N, 5N d) 6.66 N, 6.66 N FBD: Mass hanging from 2 supports equally. FNET = 0 N 0 2 20 18 newtons 4 16 14 6 12 10 8 0 2 20 18 newtons 4 16 14 6 12 10 8 5 N 5 N 10 N I would suggest you take notes like this: FBD's for Equilibrium: Forces on a body are balanced. Equilibrium: a = 0 m/s2 FNET = ma = 0 N Constant speed (including stopped) and direction. Mass hanging from 1 support: 1,000 g = 1 kg Fg = mg Fg =(1 kg)(10 m/s2) Fg = 10 N 10 N FNET = 0 N 10 N Mass hanging from 2 supports equally. FNET = 0 N 5 N 5 N 10 N 3) What does the scale on the right read if the scale the left says 8 N?: a) 8 N b) 5 N 0 2 20 18 newtons 4 16 14 6 8 c) 10 N d) 2 N 0 ? 2 20 18 newtons 4 16 14 12 10 6 8 A B C 3 D Start Question 12 10 3) What does the scale on the right read if the scale the left says 8 N?: a) 8 N Mass hanging from 2 supports unequally. FNET = 0 N b) 5 N c) 10 N d) 2 N FBD: 0 2 20 18 newtons 4 16 14 6 12 10 8 0 2 20 18 newtons 4 16 14 6 12 10 8 8 N 2 N 10 N I would suggest you take notes like this: FBD's for Equilibrium: Forces on a body are balanced. Equilibrium: a = 0 m/s2 FNET = ma = 0 N Constant speed (including stopped) and direction. Mass hanging from 1 support: 1,000 g = 1 kg Fg = mg Fg =(1 kg)(10 m/s2) Fg = 10 N 10 N FNET = 0 N 10 N Mass hanging from 2 supports unequally. FNET = 0 N Mass hanging from 2 supports equally. FNET = 0 N 5 N 5 N 10 N 8 N 2 N 10 N 4) What do the scales the left each read now? a) 8 N b) 5 N c) 10 N d) 2.5 N 0 2 20 18 newtons 4 6 16 14 8 12 10 ? A B C D 0 2 20 18 newtons 4 6 16 14 8 12 10 ? 0 2 20 18 newtons 4 6 16 14 8 12 10 4 Start Question 4) What do the scales the left each read now? a) 8 N 5 N d) 2.5 N c) 10 N 0 2 20 18 newtons 4 6 16 14 8 12 10 FBD: 5 N b) 5 N 0 2 20 18 newtons 4 6 16 14 8 12 10 10 N (no need to redraw) Add this to the top of the page: TENSION IS CONSTANT THROUGHOUT A SUPPORT! 0 2 20 18 newtons 4 6 16 14 8 12 10 I would suggest you take notes like this: FBD's for Equilibrium: Forces on a body are balanced. Equilibrium: a = 0 m/s2 FNET = ma = 0 N Constant speed (including stopped) and direction. TENSION IS CONSTANT THROUGHOUT A SUPPORT! Mass hanging from 1 support: 1,000 g = 1 kg Fg = mg Fg =(1 kg)(10 m/s2) Fg = 10 N 10 N FNET = 0 N 10 N Mass hanging from 2 supports unequally. FNET = 0 N Mass hanging from 2 supports equally. FNET = 0 N 5 N 5 N 10 N 8 N 2 N 10 N 5) What do the scales on the left read now? a) 8 N b) 3.5 N c) 7 N d) 10 N 0 2 20 18 newtons 4 6 16 14 8 12 10 ? A B C D 0 2 20 18 newtons 4 6 16 14 8 12 10 ? 0 2 20 18 newtons 4 6 16 14 8 12 10 5 Start Question 5) What do the scales on the left read now? a) 8 N FBD: 7 N 3 N 10 N b) 3.5 N c) 7 N d) 10 N 0 2 20 18 newtons 4 6 16 14 8 12 10 0 2 20 18 newtons 4 6 16 14 8 12 10 0 2 20 18 newtons 4 6 16 14 8 12 10 Mass hanging from 2 supports unequally. FNET = 0 N I would suggest you take notes like this: FBD's for Equilibrium: Forces on a body are balanced. Equilibrium: a = 0 m/s2 FNET = ma = 0 N Constant speed (including stopped) and direction. TENSION IS CONSTANT THROUGHOUT A SUPPORT! Mass hanging from 1 support: 1,000 g = 1 kg Fg = mg Fg =(1 kg)(10 m/s2) Fg = 10 N 10 N FNET = 0 N 10 N Mass hanging from 2 supports unequally. 8 N 2 N 10 N FNET = 0 N Mass hanging from 2 supports equally. FNET = 0 N 5 N 5 N 7 N 3 N 10 N 10 N Mass hanging from 2 supports unequally. FNET = 0 N 6) What does the scale on the bottom read now? a) 8 N b) 5 N c) 7 N d) 10 N 0 2 20 18 newtons 4 6 16 14 8 12 10 0 2 20 18 newtons 4 6 16 14 8 12 10 A B C 6 Start Question D 0 2 20 18 newtons 4 6 16 14 8 12 10 ? 6) What does the scale on the bottom read now? a) 8 N FBD: b) 5 N c) 7 N 0 2 20 18 newtons 4 6 16 14 8 12 10 10 N 0 2 20 18 newtons 4 6 16 14 8 12 10 10 N (no need to redraw) d) 10 N 0 2 20 18 newtons 4 6 16 14 8 12 10 7) Do the scales on the right read: b) > 5 N c) = 5 N d) scales can't read!!! C D to ns w ne 10 8 6 12 B 14 ? 16 A 18 20 0 0 0 20 20 2 2 4 4 18 newtons 18 newtons 16 16 6 6 14 14 8 8 12 10 12 10 2 4 a) < 5 N 18 20 0 16 n ew 2 to 14 n ? s 12 10 8 4 6 7 Start Question 7) Do the scales on the right read: b) > 5 N c) = 5 N d) scales can't read!!! 10 8 6 12 ns w to 14 16 ne 18 20 0 0 0 20 20 2 2 4 4 18 newtons 18 newtons 16 16 6 6 14 14 8 8 12 10 12 10 2 4 a) < 5 N 18 20 0 16 n ew 2 to 14 n s 12 10 8 6 4 10 8 6 12 ns w to ne 16 14 18 20 0 2 4 Let's look at the Free Body Diagram for this situation: 18 20 0 16 n ew 2 to 14 n s 12 10 8 6 4 Let's look at the Free Body Diagram for this situation: Its easier to see if we replace the scales with ropes: Let's look at the Free Body Diagram for this situation: Fg The Force of Gravity pulls down on the mass. Let's look at the Free Body Diagram for this situation: (Same as the Table Vectors Lab) The ropes counter the gravitational force. The 'up' tension must equal the downward force of gravity. Tup Fg The Force of Gravity pulls down on the mass. Let's look at the Free Body Diagram for this situation: Tup Trope Fg = Tup To see the tension in the ropes we construct the parallelogram around the resulting Tup. Fg Let's look at the Free Body Diagram for this situation: Tup Trope Trope Fg = Tup To see the tension in the ropes we construct the parallelogram around the resulting Tup. Fg Let's look at the Free Body Diagram for this situation: Notice that the tension in each rope has a vertical component equal Trope to half the total force required to suspend the mass. To see the tension in the ropes we construct the parallelogram around the resulting Tup. Tup Trope Fg = Tup Fg Let's look at the Free Body Diagram for this situation: Notice that the tension in each Tup rope has a vertical Ty Ty component equal Trope Trope to half the total Tx Tx force required to suspend the mass. To see the tension in the ropes we construct the parallelogram around the resulting Tup. Fg Fg = Tup Let's look at the Free Body Diagram for this situation: Notice that the tension in each Tup rope has a vertical Ty Ty component equal Trope Trope to half the total Tx Tx force required to suspend the mass. To see the tension in the ropes we construct the parallelogram around the resulting Tup. Fg Fg = Tup These are the same: Ty Tup Ty Let's look at the Free Body Diagram for this situation: Tup Trope Trope Fg = Tup To see the tension in the ropes we construct the parallelogram around the resulting Tup. Fg Let's look at the Free Body Diagram for this situation: Tup Trope Trope Fg = Tup To see the tension in the ropes we construct the parallelogram around the resulting Tup. Fg Let's look at the Free Body Diagram for this situation: Tup Trope Trope Fg = Tup To see the tension in the ropes we construct the parallelogram around the resulting Tup. Fg Let's look at the Free Body Diagram for this situation: Tup pe T ro Trope Trope ro T Fg pe Fg = Tup Fg We see that the tension in the ropes is greater than the force of gravity on the mass. Let's look at the Free Body Diagram for this situation: FBD: Trope Trope 10 N Equal angles Trope = Trope Trope + Trope > Fg FNET = 0 N I would suggest you take notes like this: FBD's for Equilibrium: Forces on a body are balanced. Equilibrium: a = 0 m/s2 FNET = ma = 0 N Constant speed (including stopped) and direction. TENSION IS CONSTANT THROUGHOUT A SUPPORT! Mass hanging from 1 support: 1,000 g = 1 kg Fg = mg Fg =(1 kg)(10 m/s2) Fg = 10 N 10 N FNET = 0 N 10 N Mass hanging from 2 supports unequally. 8 N 2 N 10 N FNET = 0 N Mass hanging from 2 supports equally. 5 N 5 N Trope 10 N 3 N 10 N 10 N FNET = 0 N Trope 7 N Mass hanging from 2 supports unequally. FNET = 0 N Equal angles Trope = Trope Trope + Trope > Fg FNET = 0 N 8) Which scale will show more force? a) left b) right B C 6 2 4 A ? s ? 4 20 tons 6 w ne 8 1 8 16 10 14 12 0 2 n 20 to w ne 8 18 0 16 4 2 1 1 1 0 c) both the same 8 Start Question 8) Which scale will show more force? a) left b) right ? 2 4 s 6 ? 4 20 tons 6 w ne 8 1 8 16 10 14 12 0 2 n 20 to w ne 8 18 0 16 4 2 1 1 1 0 c) both the same Hints: 1. Which way is the mass pulled? 2. Which scale pulls more 'up'? 8) Which scale will show more force? a) left b) right s 2 4 4 6 20 tons 6 w ne 8 1 8 16 10 14 12 0 2 n 20 to w ne 8 18 0 16 4 2 1 1 1 0 c) both the same Hints: 1. Which way is the mass pulled? 2. Which scale pulls more 'up'? Again, the Free Body Diagram for this situation: FBD: Unequal angles Trope ≠ Trope Trope + Trope > Fg FNET = 0 N Trope Trope 10 N I would suggest you take notes like this: FBD's for Equilibrium: Forces on a body are balanced. Equilibrium: a = 0 m/s2 FNET = ma = 0 N Constant speed (including stopped) and direction. TENSION IS CONSTANT THROUGHOUT A SUPPORT! Mass hanging from 1 support: 1,000 g = 1 kg Fg = mg Fg =(1 kg)(10 m/s2) Fg = 10 N 10 N FNET = 0 N Mass hanging from 2 supports unequally. 8 N 2 N 10 N 10 N FNET = 0 N Mass hanging from 2 supports equally. 5 N 5 N 7 N 3 N 10 N 10 N FNET = 0 N Trope Trope 10 N Mass hanging from 2 supports unequally. FNET = 0 N Equal angles Trope = Trope Trope + Trope > Fg FNET = 0 N Unequal angles Trope ≠ Trope Trope + Trope > Fg FNET = 0 N Trope Trope 10 N Again, the Free Body Diagram for this situation: Tup Fg = Tup Fg Again, the Free Body Diagram for this situation: Tup Fg = Tup Again, we can see the tension in each rope by constructing the parallelogram. Fg Again, the Free Body Diagram for this situation: Tup Trope Trope Fg = Tup Again, we can see the tension in each rope by constructing the parallelogram. Fg Again, the Free Body Diagram for this situation: Tup Trope Trope Fg = Tup Again, we can see the tension in each rope by constructing the parallelogram. Fg Again, the Free Body Diagram for this situation: The left rope does more of the pulling Trope 'up' so feels the greater tension. Tup Trope Fg = Tup Again, we can see the tension in each rope by constructing the parallelogram. Fg END