Conical Pendulum... help please. (1 Viewer)

[wkim7]

1)A particle of mass 5g is attached to one end of metre long string and the other end is fixed to a point on a smooth horizontal table. The particle rotates in a circular path with a speed of 2m/s.
i. Find angular velocity, w, in rad/sec
ii. Find centripetal acceleration, in m/s^2
iii. Find tension in the string in newtons.

2)A particle P of mass 2kg moves in a horizontal circle in contact with a smooth table. The particle is joined by a taut(tense) string of length 1.5m to a fixed point O on the table.
i. Find the tension T in the string if the particle completes a revolution in 5seconds
ii. The string can just support a mass of 6kg without breaking if the mass hangs vertically. Find the maximum linear velocity of the particle around the circle without the string breaking.

Help will be greatly appreciated.

 

[barbernator]

the majority of these are just substituting straight into a formula. have a look in your textbook.

i) angular velocity refers to the angle travelled in a second, ie dtheta/dt. As the radius is 1m, the circumference is 2pi. The velocity is 2m/s, so the particle will be covering 2/2pi of the circumference per second and hence 2/2pi x 2pi radians per second, ie 2 rad/sec.

ii) F=ma=mv^2/r. therefore a=v^2/r = 4

iii) F=ma=4x5g=4x0.005kg=0.02N