37. A particle of mass 5.0 kg has position vector ŕ = (2.0î – 3.0ĵ)m at a particular instant of time when its velocity is = (3.0) m/s with respect to the origin. (a) What is the angular momentum of the particle? (b) If a force = 5.0Ĵ N acts on the particle at this instant, what is the torque about the origin? 32. A solid cylindrical wheel of mass M and radius R is pulled by a force F applied to the center of the wheel at 37° to the horizontal (see the following figure). If the wheel is to roll without slipping, what is the maximum value of ? The coefficients of static and kinetic friction are μs = 0.40 and µ = 0.30. УА 145 N 37° F Mg R
37. A particle of mass 5.0 kg has position vector ŕ = (2.0î – 3.0ĵ)m at a particular instant of time when its velocity is = (3.0) m/s with respect to the origin. (a) What is the angular momentum of the particle? (b) If a force = 5.0Ĵ N acts on the particle at this instant, what is the torque about the origin? 32. A solid cylindrical wheel of mass M and radius R is pulled by a force F applied to the center of the wheel at 37° to the horizontal (see the following figure). If the wheel is to roll without slipping, what is the maximum value of ? The coefficients of static and kinetic friction are μs = 0.40 and µ = 0.30. УА 145 N 37° F Mg R
37. A particle of mass 5.0 kg has position vector ŕ = (2.0î – 3.0ĵ)m at a particular instant of time when its velocity is = (3.0) m/s with respect to the origin. (a) What is the angular momentum of the particle? (b) If a force = 5.0Ĵ N acts on the particle at this instant, what is the torque about the origin? 32. A solid cylindrical wheel of mass M and radius R is pulled by a force F applied to the center of the wheel at 37° to the horizontal (see the following figure). If the wheel is to roll without slipping, what is the maximum value of ? The coefficients of static and kinetic friction are μs = 0.40 and µ = 0.30. УА 145 N 37° F Mg R
I need help with this problem and an explanation for the solution described below. (University Physics 1: Angular Momentum)
Transcribed Image Text:37. A particle of mass 5.0 kg has position vector ŕ = (2.0î – 3.0ĵ)m at a particular instant of time when its
velocity is = (3.0) m/s with respect to the origin. (a) What is the angular momentum of the particle?
(b) If a force = 5.0Ĵ N acts on the particle at this instant, what is the torque about the origin?
Transcribed Image Text:32. A solid cylindrical wheel of mass M and radius R is pulled by a force F applied to the center of the wheel
at 37° to the horizontal (see the following figure). If the wheel is to roll without slipping, what is the
maximum value of ? The coefficients of static and kinetic friction are μs = 0.40 and µ = 0.30.
УА
145
N
37°
F
Mg
R
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
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