ON17 P52 Q2 Standing Waves

 9702/52/O/N/17: A student is investigating stationary waves on a stretched elastic cord. A vibrator attached to the cord is connected to a signal generator. The apparatus is set up as shown in Fig. 2.1.

The  mass  M  attached  to  the  cord  is  adjusted  until  resonance  is  obtained.  The  number  n  of  antinodes on the stationary wave is recorded. The experiment is repeated with different masses to obtain different values of n. It is suggested that M and n are related by the equation

\(f = \dfrac{n}{2L} \sqrt{\dfrac{Mg}{\mu}} \)

where f  is  the  frequency  of  the  vibrator,  g  is  the  acceleration  of  free  fall,  L  is  the  length  of  the  elastic cord and n is the mass per unit length of the elastic cord.

 

October/November 2017 Paper 5 Variant 2 Question 2 data analysis.

ON17 P51 Q2 Force on Bridge

9702/51/O/N/17:  A student is investigating how the forces acting on a bridge vary as the position of a load on the bridge is changed. The bridge is modeled as shown in Fig. 2.1 with two newton-meters providing the support forces. 

 A load of mass m is placed at a distance x from support A. The readings of the newton-meters T1 and T2 are recorded for different values of x.

It is suggested that T1, T2 and x are related by the equation 

\( T_1 - T_2 = \dfrac{mg(s - x) - mgx}{s} \)

where s is the separation of the newton-meters and g is the acceleration of free fall.

Oct/Nov 2017 Paper 5 Variant 1 Questions 2 data analysis.