An object of mass m1 = 4.00 kg is tied to an object of mass m2 = 3.50 kg with String 1 of length ℓ = 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length ℓ = 0.500 m. During the motion, the two strings are collinear at all times as shown in the figure. At the top of its motion, m2 is traveling at v = 5.70 m/s. (a) What is the tension in String 1 at this instant? (b) What is the tension in String 2 at this instant? Which string will break first if the combination is rotated faster and faster? string 1 or string 2
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
An object of mass m1 = 4.00 kg is tied to an object of mass m2 = 3.50 kg with String 1 of length ℓ = 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length ℓ = 0.500 m. During the motion, the two strings are collinear at all times as shown in the figure. At the top of its motion, m2 is traveling at v = 5.70 m/s.
(a) What is the tension in String 1 at this instant?
(b) What is the tension in String 2 at this instant?
Which string will break first if the combination is rotated faster and faster?
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