Recent content by CathyLou

  1. C

    Find, in terms of pi, the solutions of the equation sin5x + sin x = 0

    Hi. Could someone please help me with the following C3 question? I would really appreciate any help as I am completely stuck at the moment. Find, in terms of pi, the solutions of the equation sin5x + sin x = 0 for x in the interval 0 >= x > pi. I wrote down that sin(3x + 2x) + sin x = 0...
  2. C

    M1 Friction Help - Find the Minimum Tension

    Why does the vector point from the origin? I just redrew the line starting from the point x = 2. Thank you for all your help. Cathy
  3. C

    M1 Friction Help - Find the Minimum Tension

    Thanks for your help. I plotted the coordinates of the velocity and drew a right-angled triangle to join this point to j (+1 on the y-axis). I then used tan x = 2/4 but this did not give me the correct answer (which is 146 degrees) for the angle. Could someone please suggest what I am doing...
  4. C

    M1 Friction Help - Find the Minimum Tension

    Hi. I have no idea how to even begin the following question so I would really appreciate it if someone could please help me in any way. A particle P moves in a horizontal plane. The acceleration of P is (-i + 2j) m/s^2. At time t = 0, the velocity of P is (2i - 3j) m/s. (a) Find, to the...
  5. C

    M1 Friction Help - Find the Minimum Tension

    Friction acts up the plane. Thank you - I have the correct answer now. Cathy
  6. C

    M1 Friction Help - Find the Minimum Tension

    I wrote that T - 20g x sin60 - F = 0 R - 20g x cos60 = 0 so R = 98 N. F = 0.4R so T = 209 N (3 s. f.). Can you see where I have gone wrong as the answer is 131 N and 209 N is the answer to the next part of the question - the tension in the rope? Thanks for helping. Cathy
  7. C

    M1 Friction Help - Find the Minimum Tension

    Is the third force friction? Cathy
  8. C

    M1 Friction Help - Find the Minimum Tension

    Thank you for your help. If I resolve parallel to and up the plane, I that T - 20g x sin60 but this does not give T as the correct answer of 131 N. Am I missing the point of something? Cathy
  9. C

    M1 Friction Help - Find the Minimum Tension

    Hi. Could someone please help me with the following M1 question? I would really appreciate any help at all as I am completely stuck at the moment. I have drawn a diagram. A heavy package is held in equilibrium on a slope by a rope. The package is attached to one end of the rope, the...
  10. C

    Express arcsin x in terms of y

    Could someone please draw a diagram for me to compare mine to as I am not sure that I fully understand what it is meant to look like? Could you please label x and y? Thank you. Cathy
  11. C

    Express arcsin x in terms of y

    Thank you for your help! Cathy
  12. C

    Express arcsin x in terms of y

    Hi. I have drawn a diagram but I still do not understand why x = sin (pi/2 - y). Could someone please explain? Thank you for your help. Cathy
  13. C

    Express arcsin x in terms of y

    Hi. Could someone please explain to me the following C3 level question? I would really appreciate any help as I am completely stuck at the moment. Given that y = arccos x, -1 <= x <= 1 and 0 <= y <= pi, (a) express arcsin x in terms of y. I have written down that x = cos y but I do...
  14. C

    Mechanics 1 Help: Solve Questions on Bead Equilibrium

    I have worked out the correct answer now. Thank you so much for your help! Cathy
  15. C

    Mechanics 1 Help: Solve Questions on Bead Equilibrium

    Hi. Thank you for your help! I understand how to do part (a) now. Could you please help with (b) also? Cathy