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Purpose . Analyze force vectors in several situations of suspended masses. Predicting x and y components of forces (Free body diagrams: Done in the homework). Measuring x and y components of the forces. Encounter static and dynamic equilibrium situations. Static: acceleration = 0

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purpose
Purpose
  • Analyze force vectors in several situations of suspended masses.
  • Predicting x and y components of forces (Free body diagrams: Done in the homework).
  • Measuring x and y components of the forces.
  • Encounter static and dynamic equilibrium situations.
      • Static: acceleration = 0
      • Dynamic: acceleration  0
equipment
Equipment
  • Two force sensors (static situations)
  • One force sensor and one photo gate (dynamic situation)
static suspension of mass on strings
Static Suspension of Mass on Strings

Force Sensors must

be aligned with strings for proper measurement of the force.

tare buttons

  • Force sensors must be aligned and mass must be temporarily removed while taring the sensor.
  • Taring must be redone whenever force sensor is realigned.
  • Tare button is on the side of the force sensor.
wrong not aligned
WRONG (not aligned)

Force sensor will not

measure the proper

tension in the string.

dynamic situation swinging mass
Dynamic Situation (Swinging Mass)

Force sensor oriented so string is aligned at low point of motion.

Photogate at low point of motion

Photogate triggers force measurement at the right moment and measures velocity (actually measures time and calculates v).

dynamic situation free body diagram

Q

y

x

Dynamic Situation: Free Body Diagram

At the lowest point of the swing:

r

T

q

ac = v2/r (direction of a is in the direction of the net force)

mg cos q

mg sin q

mg

W=mg

(Note: This is just Newton’s second law: F = ma.

Only T and W are forces! “ m ac“ is not a force!)

slide7

Hit the “Scale to

Fit” button here

if you cannot see

oscillations (F <0

if done correctly).

Data acquisition

starts here. This

is also the moment

in which the mass

swings through

the photo gate

for the first time.

Follow instructions

hints
Hints
  • In the static situations (no acceleration) we always have:

 In the free body diagram the forces must always add up to zero.

  • For the dynamic situation you need only one force sensor: It must be the force sensor that is plugged into port A of the 750 interface.
  • Tare the force sensor before you hang the swinging mass on it.
hints1
Hints

In Part I you will be asked to calculate the % difference between your measured g and the accepted value of g (use 9.8 m/s2 for accepted value):

In Part III you will also be asked to calculate the % uncertainty in your

measurement of tension. With this we actually meant again the %

deviation from the expected (calculated) value of T:

hints measuring the angle of the string

Q

30°

60°

90°

Hints: Measuring the Angle of the String

String

Protractor

In this case:

small weight (acts as plumb level)

hints measuring the angle of the string alternative method

Q

Hints: Measuring the Angle of the String – Alternative Method

String

90°

In this case:

60°

30°