Chapter 7 1 Forces in Two Dimensions Drill

Chapter 7. 1 Forces in Two Dimensions

Drill: • Calculate the frictional coefficient acting on a 10. 0 kg box sliding when a 50 N force causes an 2 acceleration of 3. 00 m/s.

a A B W W = 2, 000. 0 N o a = 53 Calculate: TA & T B

2 -D Forces • Solve the force in each dimension independently

2 -D Forces • Use your trigonometric functions to solve the x & y components

2 -D Forces • x & y components could be the vertical force (FV) or the horizontal force (FH)

2 -D Forces • x & y components could be the vertical force (F||) or the horizontal force (F )

A a W Identify all forces:

Vertical component of the tension of A A a Force of the boom Horiz. component of the tension of A Weight

FH TA FT of A a FV opposing W is The vertical comp. FBoom W FH = the horizontal comp. which opposes the boom FV = -W = TA sin a FH = TA cos a

A a= o 37 a 250 kg Calculate TA of line A & force of the boom:

A a= o 45 a 500. 0 N Calculate FT of line A & force of the boom:

A a= o 53 a 200. 0 kg Calculate FT of line A & force of the boom:

a A B W W = 2, 000. 0 N o a = 37 Calculate: TA & T B

W = 2500 N o A = 53 Calculate: FBoom W a

FA = 100 lbs o a = 10 Calculate: FA TB & FH B a a

a= Wsled = 250 N o 37 ms = 0. 1 Calculate the pulling force required to accelerate the sled a

a= mmower = 100. 0 kg o 37 mk = 0. 25 Calculate the force required to push the mower at constant v a

a= mmower = 20. 0 kg o 37 mk = 0. 20 Calculate amower When the person Pushes with 50. 0 N a

Determine the forces acting on the box:

Ff FN F|| F W a

Ff FN a F = W cos a FN = - F Ff = m. FN F F|| = W sin a W a

Box = 1500 kg o a = 30 Calculate: F||, F , Ff if v is constant, & m a

Box = 2500 kg o a = 37 Calculate: F||, F , Ff if a = 2 2. 0 m/s , & m a

Box = 2500 kg m = 0. 20 a = 37 o Calculate: F||, F f, & a a

Box = 100. 0 kg mk = 0. 200 o < a = 53. 0 Calculate: abox a

Box = 250 kg ms = 0. 40 mk = 0. 20 Calculate: < a required to set the box in motion & abox a

Box = 200. 0 kg ms = 0. 50 mk = 0. 30 Calculate: < a required to set If the ramp in the box in 50. 0 m long, motion calculate the vf & a box of the box a

Box = 100. 0 kg mk = 0. 20 o < a = 37 Calculate the force required to accelerate the box up the plane at 2. 0 m/s 2 a

a A Identify all forces b B W = mg

a b TA Identify all forces TB W

a Vertical A Component Of Ta Horizontal Component Of TA b B W Vertical Component Of TB Horizontal Component Of TB

a b A B TA sin a Ta cos a Fnet = 0 a b TB cos b W = mg TAcosa + TBcosb = 0 TAsina + TBsinb + W = 0 TB sin b

a A b B Calculate the tension 50. 0 kg of both A & B a= o b = 53 o 37

Calculate the force required to accelerate a 2 9800 N sled at 3. 0 m/s when the kinetic frictional coefficient is 0. 50

a A b B Calculate the tension 25 kg of both A & B a= o b = 53 o 30

a A b B Calculate the tension 2. 5 kg of both A & B a= o b = 53 o 37

a b A a= X o b = 53 Y = 1. 00 k. N o 37 B C Y

a FV of A FV of B + FV of C A FH of C C Wx + FV of C b B FH of C WY

a b FV of A A FH of A FV of C B FH of C C FH of C FV of B FH of B FV of C Wx + FV of C WY

A 20. 0 kg block is sliding down a board o that is 30 from horizontal at a constant speed. Calculate the frictional coefficient.

Box = 100. 0 kg o a = 25 Calculate: F||, F , Ff if v is constant, & Calculate tan a m a

Box = 50. 0 kg o a = 53 Calculate: F||, F , Ff if v is constant, & Calculate tan a m a

Box = 10. 0 kg o a= 37 a = 2. 0 m/s 2 down Calculate: F||, F f, & Calculate tan a , m a

Box = 1. 0 kg o a= 45 , m = 0. 20 a = 2. 0 m/s 2 up Calculate: F||, F f, & Calculate tan a F A, m a

A a 250 kg Calculate the tension o Of A if a = 45 :

a A b B Calculate the tension 2. 5 kg of both A & B a= o b = 53 o 37

A 50. 0 N force is applied to a rope attached to one end of o a 40. 0 kg sled at a 37 angle from horizontal. Calculate FH, FV, & the acceleration of the sled if m = 0. 10.

A 500. 0 kg box slides down an inclined plane that o is 53 from horizontal with 2 an acceleration of 3. 0 m/s. Calculate F||, F , Fnet, Ff, & m.

a= W = 294 N m = 0. 100 o 36. 87 W a 38. 0 N Calculate: abox