A rectangular conducting loop of width w, height h and resistance R is mounted vertically on non-conducting cart as shown below. The cart is placed on the inclined portion of a track and released rest at position P, at height yo above the horizontal portion of the track. It rolls with negligible friction down the incline and through a uniform magbetic field B in the region above the hortizontal track. The conducting loop is in the plane of the page and the magnetic field is directed into the page. The loop passes competely through the field with a negligible change in speed. B P2 0 2w 3w 5w 4w Express all of your answer in terms of the given quantities and fundamental constants. 2.6 m (a) Determine the speed of the cart when it reaches the horizontal portion of the track. h 1.2 m 40.0 0 Yo 5.1 m 2.0T
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).
![A rectangular conducting loop of width w, height h and resistance R is mounted vertically on non-conducting
cart as shown below. The cart is placed on the inclined portion of a track and released rest at position P, at
height yo above the horizontal portion of the track. It rolls with negligible friction down the incline and
through a uniform magbetic field B in the region above the hortizontal track.
The conducting loop is in the plane of the page and the magnetic field is directed into the page. The loop
passes competely through the field with a negligible change in speed.
P,
B
Yo
X X
P2
2w
3w
4w
5w
Express all of your answer in terms of the given quantities and fundamental constants.
2.6 m
(a) Determine the speed of the cart when it reaches the horizontal portion of the track.
h
1.2 m
R
40.0 0
Yo
5.1 m
B
2.0 T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdff7b543-7c53-4567-b2e2-82ba64a4a215%2Fd9a40e1a-5ef2-4f92-863d-a36f95ea6552%2Fhs2e4f_processed.jpeg&w=3840&q=75)
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