BON 5 cm TON 7 cm 10ON , 10 cm BON 8cm 6 10 rim 7 CM 4 50 Som 180 270 Fix FiGos Q, 7 Cos 45 4 94 N 5 Fry Fsino 7 ( Sin15 4 9 5 Fax F 3 Cos 0 Fix FL COS 10 Cos 2 2 5 (27) 10 Cos $1 7 07 7 1 Foy Fo Sind Fry FiSin 8 10sin Q 2 4 3 7 ( Sing 7 07 71 Question 1) State the condition for equilibrium in two ways (1) as illustrated in part 1, (ii) as illustrated in part 3 the answers PLZ So ( 60LHS ) 9 75 150 (F 6 ) 15 4590 2) In Part 1, when the ring was in equilibrium, the forces and their directions have certain values If the ring is now displaced, do the forces have the same magnitudes as before Are the directions the same as before Referring to your two preceding answers explain whether or not the sum of the forces is still zero for the displaced ring Results and Calculations 1 Compute by trigonometry, using the component method, the magnitude of the resultant of the three forces This is also the magnitude of the equilibrant equilibrant 2 Compute by trigonometry, using the component method, the angle 0 for the 3 Compare the computed magnitude and angle with those obtained graphically, and compute the percent discrepancy ( error ) for each 4 Compare your experimental values for the magnitude of E and the angle (relative to 0 degrees) to the theoretically predicted ones The values you determine should be in close agreement, otherwise you have performed the laboratory incorrectly Equilibrium coplanar forces rev1 EQUILIBRIUM OF COPLANAR FORCES Purpose study the composition and equilibrium of coplanar forces (5 Part II Rectangular resolution and equilibrium of coplanar forces b To study the rectangular resolution and equilibrium of coplanar forces Computations rrespond to the force due to 10 grams See Figure 6 Compute by trigonometry, using the component method, the magnitude of the resultant of the three Part I Composition and equilibrium of coplanar forces de of the equilibrant The first part of the experiment is to show how several forces whose lines of action 2 Compute by trigonometry, using the component method, the angle 0 for the equilibrant pass through one point, can be balanced by a single force with line of action passing through the Compare the computed magnitude and angle with those obtained graphically, and compute the final forces, and then to balance this resultant with an equal and opposite force, called the equilibran com discrepancy ( error ) for each The resultant of the original forces is found by the method of vector addition When a number of forces, F1, Fa 4 Compare your experimental vanties for the magnitude of to the me angle (relative to 0 degrees) to the F F have performed the laboratory incorrectly Check your data and the computations before leaving F mes of actions of all the forces pass the laboratory F Figure 6 he resultant of the forces, R, can be found Draw a line from the end of Fi that is perpendicular to the x axis as shown in Figure 6 The ail fashion thereby forming the sides of a Questions marks Fo the s componem of F Measure with the centimeter ruler the magnitudes of these polygon as shown in Figure 16 The vector a Part I when the ring was in equiforum, the forces and their affection, hive certain values, if the of the vectors the rest of as before Referring to your two preceding answers explain whether or not the sum of the forces is berge genes and whewhamas and Fi Take care to note ( b) Finding the resultant force R by completing a polygon still zero for the displaced ring Part II Rectangular resol 3 Add up the x components of F) F and Fx We will call this EF, ectangular resolution and equilibrium of coplanar forces State the first condition for equilibrium in two ways (a) as illustrated by Part I and (b) as illustrated 4 Add up the y components of F1, Fa and Fy We will call this IF, The purpose of this part of the experiment is to show how a single force may be resolved into by Part II two mutually perpendicular components which together may be place of the original three forces, it is possible rector F can be resolved alone munaany perenni megaforce Data sheets balancing their components Check this xes the projections F and Fy along the x and y ases are the Experimentally by means of the force table as Your drawings are data sheets for this experiment one to represent the equilibrant as determined long x axis and Fy along y axis is the same as that of F the sum of the components , IF , and one on If there is more than one force acting on an object, all the forces the 90 270 quis to represent the sum of the y can be resolved in rectangular components The sum of all the s of the y components will be the y component of the resultant Figure 2 Rectangular The arrangement of the table should be similar resolution of a force, Apparatus Figure 7 cach with the stands sheled in degrees ring and pin, for centering four pulleys four werent hansen gram masses one set of small masses (5 2 2 I gram) protractor ruler Description of apparatus SON pod will first determine the resultant of the bites hem to equilibrium The diagrams that you make for this 10ON 10 cm white paper Once you have obtained a result for the CON 8cm equilibriant, you will use a force table as shown in Figure pulleys that can be moved around the edge of the plate he force You can apply the forces on a ring by hanging 10 km we'The force table The pulleys are very him 7 CM handle them carefully, and avoid dropping them Figure 3 Force table Procedure Part 1 Composition and equilibrium of coplanar forces You are to find the resultant and equilibrant of three forces whose lines of actions pass through 180 ranging the force should first draw a space diagram, as described below, to serve as a guide in Choose a point, about 7 cm from the top of your sheet of white paper, for the center of the space diagram, and draw a circle about this point to represent the force table You may use one of the 90 Som a force be onete e wed ing in the third quadrant to represent a force F3 You may elect any convenient direction for the three 180 weights in the more of 100 arms to 150 grams that exert forces Fi, Fa, and Fx For drawn to scale Indicate on your diagram the magnitudes of the three forces and also How much is the force in Newton ( NI 270 4 Space diagram caused by a hundred gram of hanging (2 1270 Fix FiCos Q, 7 Cos 45 4 94 N 5 Now you are going to construct a force diagram that you can use to determine graphically the resultant and cpresent the forces accurately Follow procedure below to draw force diagram (Figure 5) Fry Esind 3 On the lower half of your paper, draw a line to represent Fi This line should be parallel to the F, 7 sin15 4 9 5 length such that 1 0 cm corresponds to the force due to 10 grams Indicate the direct force by an arrow 10 grams Similarly, draw Es Each force line should be parallel to its direction in Figure 4 FIX FL Cos the whole between ge and ignorant ibrant E R Measure the length of R and the magnitude of Fax F 3 Cos 0 10 Cos 9, 7 07 7 1 Now check your work experimentally 10 Cos 2 2 5 ( 27) Pin the metal ring to the center of the F, Positions F 1 8 2, and F's, and the 180' (B y) Fry FiSin 8 pulley and suspend from it a weight Foy Fo sind 7 ( Sind 7 07 71 which will yield the forces indicated in R a B your diagram Remember that the 10 sin 0 2 4 3 the strings so that they point exactly pin should he located one came angles between the strings will not be E the table Your space diagram should arrangement of the Question 1) State the condition for eq part 1 ( ) as illustrated in part 3 alibrium in two ways (1) as ilustrated Figure 5 Force diagram window touch the bills no point if these conditions are not fulfilled find your error and correct it I your system is balanced , remove the pin displace the ring a few centimeters from the center and release the answers it Note what happens See Question In performing this laboratory in both part I and II, you should first determine the magnitude of the values for the magnitude of F and the angie (relative to O degrees) to the theoretically predicted ones PLZ The values you determine should be in close agreement, otherwise you have performed the laboratory incorrectly Check your data and the computations before leaving the laboratory 50 ( FJUG ) ( 3 ) 45 45,90 ( F B ) 2) In Part I, when the ring was in equilibrium, the forces and their directions have direction 's now displaced, do the forces have the same magmitte answers explain whether or not the sum of the forces is still zero for the displaced ring Results and Calculations 1 Compute by trigonometry, using the component method, the magnitude of the 2 Compute by trigonomen This 3 Compare the computed magnitude and angle with those obtained graphically, and 4 Compare your experimental values for the magnitude of E and the angle (relative to O close agreement, otherwise you have performed the laboratory incorrectly

Question

BON   5 cm TON   7 cm 10ON , 10 cm BON   8cm 6 10 rim 7 CM 4 50 Som 180 270 Fix   FiGos Q,   7 Cos 45   4 94 N 5 Fry   Fsino 7 ( Sin15   4 9  5 Fax   F 3 Cos 0 Fix   FL COS   10 Cos  2 2 5 (27) 10 Cos $1   7 07  7 1 Foy  Fo Sind Fry   FiSin 8 10sin Q 2 4 3 7 ( Sing   7 07  71 Question 1) State the condition for equilibrium in two ways (1) as illustrated in part 1, (ii) as illustrated in part 3 the answers   PLZ So  ( 60LHS ) 9 75 150   (F   6 )   15 4590 2) In Part 1, when the ring was in equilibrium, the forces and their directions have certain values  If the ring is now displaced, do the forces have the same magnitudes as before  Are the directions the same as before  Referring to your two preceding answers  explain whether or not the sum of the forces is still zero for the displaced ring  Results and Calculations  1  Compute by trigonometry, using the component method, the magnitude of the resultant of the three forces  This is also the magnitude of the equilibrant  equilibrant  2  Compute by trigonometry, using the component method, the angle 0 for the 3  Compare the computed magnitude and angle with those obtained graphically, and compute the percent discrepancy ( error ) for each  4  Compare your experimental values for the magnitude of E and the angle (relative to 0 degrees) to the theoretically predicted ones  The values you determine should be in close agreement, otherwise you have performed the laboratory incorrectly Equilibrium coplanar forces rev1 EQUILIBRIUM OF COPLANAR FORCES Purpose study the composition and equilibrium of coplanar forces  (5 Part II  Rectangular resolution and equilibrium of coplanar forces b  To study the rectangular resolution and equilibrium of coplanar forces  Computations rrespond to the force due to 10 grams  See Figure 6  Compute by trigonometry, using the component method, the magnitude of the resultant of the three Part I  Composition and equilibrium of coplanar forces de of the equilibrant  The first part of the experiment is to show how several forces whose lines of action 2  Compute by trigonometry, using the component method, the angle 0 for the equilibrant pass through one point, can be balanced by a single force with line of action passing through the Compare the computed magnitude and angle with those obtained graphically, and compute the final forces, and then to balance this resultant with an equal and opposite force, called the equilibran com discrepancy ( error ) for each  The resultant of the original forces is found by the method of vector addition  When a number of forces, F1, Fa  4  Compare your experimental vanties for the magnitude of to the me angle (relative to 0 degrees) to the F  F   have performed the laboratory incorrectly  Check your data and the computations before leaving F  mes of actions of all the forces pass the laboratory  F  Figure 6 he resultant of the forces, R, can be found Draw a line from the end of Fi that is perpendicular to the x axis as shown in Figure 6  The ail fashion thereby forming the sides of a Questions marks Fo   the s componem of F     Measure with the centimeter ruler the magnitudes of these polygon as shown in Figure 16  The vector a Part I when the ring was in equiforum, the forces and their affection, hive certain values, if the of the vectors the rest of as before  Referring to your two preceding answers  explain whether or not the sum of the forces is berge genes and whewhamas and Fi  Take care to note ( b) Finding the resultant force R by completing a polygon still zero for the displaced ring  Part II  Rectangular resol 3  Add up the x components of F)  F  and Fx We will call this EF,  ectangular resolution and equilibrium of coplanar forces State the first condition for equilibrium in two ways  (a) as illustrated by Part I and (b) as illustrated 4  Add up the y components of F1, Fa and Fy We will call this IF, The purpose of this part of the experiment is to show how a single force may be resolved into by Part II  two mutually perpendicular components which together may be  place of the original three forces, it is possible rector F can be resolved alone munaany perenni megaforce Data sheets balancing their components  Check this xes  the projections F  and Fy along the x  and y ases are the Experimentally by means of the force table as Your drawings are data sheets for this experiment  one to represent the equilibrant as determined long x axis and Fy along y axis is the same as that of F  the sum of the   components , IF , and one on If there is more than one force acting on an object, all the forces the 90   270 quis to represent the sum of the y can be resolved in rectangular components  The sum of all the s of the y components will be the y component of the resultant  Figure 2  Rectangular The arrangement of the table should be similar resolution of a force, Apparatus Figure 7  cach with the stands sheled in degrees  ring and pin, for centering  four pulleys  four werent hansen gram masses  one set of small masses (5  2  2  I gram)  protractor  ruler  Description of apparatus SON pod will first determine the resultant of the bites hem to equilibrium  The diagrams that you make for this 10ON   10 cm white paper  Once you have obtained a result for the CON   8cm equilibriant, you will use a force table as shown in Figure pulleys that can be moved around the edge of the plate  he force  You can apply the forces on a ring by hanging 10 km we'The force table  The pulleys are very him 7 CM handle them carefully, and avoid dropping them  Figure 3  Force table Procedure Part 1  Composition and equilibrium of coplanar forces You are to find the resultant and equilibrant of three forces whose lines of actions pass through 180 ranging the force should first draw a space diagram, as described below, to serve as a guide in   Choose a point, about 7 cm from the top of your sheet of white paper, for the center of the space diagram, and draw a circle about this point to represent the force table  You may use one of the 90 Som a force be  onete e wed ing in the third quadrant to represent a force F3  You may elect any convenient direction for the three 180 weights in the more of 100 arms to 150 grams that exert forces Fi, Fa, and Fx For drawn to scale  Indicate on your diagram the magnitudes of the three forces and also How much is the force in Newton ( NI 270 4  Space diagram caused by a hundred gram of hanging (2 1270 Fix   FiCos Q,   7 Cos 45   4  94 N 5 Now  you are going to construct a force diagram that you can use to determine graphically the resultant and cpresent the forces accurately  Follow procedure below to draw force diagram (Figure 5)  Fry   Esind 3  On the lower half of your paper, draw a line to represent Fi  This line should be parallel to the F, 7 sin15   4 9  5 length such that 1 0 cm corresponds to the force due to 10 grams Indicate the direct force by an arrow 10 grams  Similarly, draw Es  Each force line should be parallel to its direction in Figure 4  FIX   FL Cos the whole between ge and ignorant       ibrant E    R  Measure the length of R and the magnitude of Fax   F 3 Cos 0 10 Cos 9,   7 07  7 1 Now check your work experimentally   10 Cos  2 2 5 ( 27) Pin the metal ring to the center of the F, Positions F 1 8 2, and F's, and the 180'  (B   y) Fry   FiSin 8 pulley and suspend from it a weight Foy  Fo sind 7 ( Sind   7 07  71 which will yield the forces indicated in R a   B your diagram  Remember that the 10 sin 0 2 4 3 the strings so that they point exactly pin should he located one came angles between the strings will not be E the table  Your space diagram should arrangement of the Question 1) State the condition for eq part 1  ( ) as illustrated in part 3 alibrium in two ways (1) as ilustrated Figure 5  Force diagram window touch the bills no point if these conditions are not fulfilled  find your error and correct it  I your system is balanced , remove the pin  displace the ring a few centimeters from the center and release the answers   it  Note what happens  See Question   In performing this laboratory in both part I and II, you should first determine the magnitude of the values for the magnitude of F and the angie (relative to O degrees) to the theoretically predicted ones PLZ The values you determine should be in close agreement, otherwise you have performed the laboratory incorrectly  Check your data and the computations before leaving the laboratory  50   ( FJUG )   ( 3 ) 45 45,90 ( F  B ) 2) In Part I, when the ring was in equilibrium, the forces and their directions have direction 's now displaced, do the forces have the same magmitte answers  explain whether or not the sum of the forces is still zero for the displaced ring  Results and Calculations  1  Compute by trigonometry, using the component method, the magnitude of the 2  Compute by trigonomen This 3  Compare the computed magnitude and angle with those obtained graphically, and 4  Compare your experimental values for the magnitude of E and the angle (relative to O close agreement, otherwise you have performed the laboratory incorrectly

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BON - 5 cm TON : 7 cm 10ON , 10 cm BON - 8cm 6 10 rim 7 CM 4.50 Som 180 270 Fix

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