Where is a conducting rod pq of mass m and length l placed?

Where is a conducting rod pq of mass m and length l placed?

A conducting rod PQ of mass ‘m’ and of length ‘l’ is placed on two long parallel(smooth and conducting) rails connected to a capacitor as shown below. The rod PQ is connected to a non-conducting spring constant ‘k’, which is initially in relaxed state.

When a conducting rod is moving through a magnetic field?

Conducting rod And magnetic Field: When we move a conducting rod in a magnetic field, emf(E) is generated across its end. There is a change of flux due to change in area interacting with the field, which happens due to the velocity of the rod. This emf is called motional emf.

What is the centre of mass of the rod of length L and mass m?

Centre of mass of a uniform object lies at its geometric centre. So, centre of mass of the rod lies at a distance of L/2 from the the end.

What is the centre of mass of a uniform rod of mass m and length L?

A uniform rod’s centre of mass is located in the centre of the rod. As an example, the centre of mass of a uniform rod extending along the x axis from x=0 to x=L is located at (L/2, 0).

What is the movement between a conductor and magnetic field?

Current is produced in a conductor when it is moved through a magnetic field because the magnetic lines of force are applying a force on the free electrons in the conductor and causing them to move.

What is the force on a current carrying rod in a magnetic field?

F=IlBsinθ, where I is the current, l is the length of a straight conductor in a uniform magnetic field B , and θ is the angle between I and B .

What is the magnetic field due to a current carrying conductor?

The magnetic field produced due to a current-carrying conductor has the following characteristics: It encircles the conductor. It lies in a plane perpendicular to the conductor. Reversal in the current flow direction reverses the field’s direction.

What is the formula of centre of mass of a rod?

⇒ x COM = 1 L x 2 2 0 L ⇒ x COM = L 2.

What is the formula for the center of mass?

Center of Mass of a Two-Particle System (m1+m2) rcm =m1 r1+m2 r2. The product of the total mass of the system and the position vector of the center of mass is equal to the sum of the products of the masses of the two particles and their respective position vectors.

What is the formula for the location of center of mass?

The equation for the center of mass of a system of n discrete particles is C M = ∑ i n x i m i M . The equation for the center of mass of a continuous system is C M = ∫ y d m M . Both these equations yield vector results.

What is the centre of mass of a non uniform rod?

Let us consider a rod of length L that has non-uniform mass, and the mass of the rod varies with distance as =kx2L. The centre of mass of this rod will be at ¾L, or in other words, the distance at which the centre of the mass of a non-uniform rod ilies is at ¾L of the total length of the rod.

What is the centre of mass of a thin uniform rod?

The centre of mass of a thin rod can be found exactly at its mid-point (half of its length). The centre of gravity and the centre of mass are at the same point under uniform gravity (i.e., where g is constant).

What is the centre of mass of a uniform straight rod?

Two identical uniform rods AB and CD, each of length L are jointed to form a T-shaped frame as shown in figure. Locate the centre of mass of the frame. The centre of mass of a uniform rod is at the middle point of the rod.

Is a uniform rod of mass m and length l allowed to rotate?

A uniform rod of length l and mass m is free to rotate in a vertical plane about A. The rod initially in horizontal position is released. The initial angular acceleration of the rod is (Moment of inertia of rod about A is ml23.

Can a rod of uniform mass m and length l freely rotate?

A uniform rod of mass m and length L can rotate freely on a smooth horizontal plane about a vertical axis hinged at point O. A point mass having same mass m coming with an initial speed u perpendicular to the rod, strikes the rod in-elastically at its free end.

Is rod of mass m and length l free to rotate?

A rod of mass m and length L, hinged horizontally, is free to rotate about a vertical axis through its center. A horizontal force of constant magnitude Facts on the rod at a distance of L/4 from the center. The force is always perpendicular to the rod.

What are three rods each of length L and mass m are joined to form?

Three rods each of mass m and length ℓ are joined together in the form of an equilateral triangle as shown in the figure.