Question

In: Physics

A small block with mass 0.0475kg slides in a vertical circle of radius 0.0770m on the...

A small block with mass 0.0475kg slides in a vertical circle of radius 0.0770m on the inside of a circular track. There is no friction between the track and the block. At the bottom of the block's path, the normal force the track exerts on the block has magnitude 3.90N


Part A
What is the magnitude of the normal force that the track exerts on the block when it is at the top of its path?
Express your answer with the appropriate units.


Solutions

Expert Solution

The easiest way to approach the problem is understanding that when the block is at the bottom of the circle, there are two forces acting on it: gravity and the normal force. The summation of these two forces, if done properly, should yield the net force on the block and should equal to the centripetal force as it keeps the block in circular rotation. As such:


F (centripetal) = F (Normal) - F (Gravity)

               

                          = (3.9 N) - (.0475 kg) ( 9.81 m/s^2 )

                          = 3.434025 N


Now, we know the centripetal force ( or the net force) necessary for the block to stay in circular motion. Using this, we can calculate the required force the track exerts at the top, or the normal force at the top. Note that this time, all of the forces are downward, so all are negative.



- F (centripetal) = - F (Normal) - F (Gravity)


- 3.434025 N = - F (normal) - (.0475 kg) ( 9.81 m/s^2 )


F (normal) = 2.96805 N


F (normal) = 2.97 N downward


Related Solutions

A small block with mass 0.0550 kg slides in a vertical circle of radius 0.0740 m...
A small block with mass 0.0550 kg slides in a vertical circle of radius 0.0740 m on the inside of a circular track. There is no friction between the track and the block. At the bottom of the block's path, the normal force the track exerts on the block has magnitude 3.40 N Part A What is the magnitude of the normal force that the track exerts on the block when it is at the top of its path?
A small block with mass 0.0400 kg slides in a vertical circle of radius 0.500 m...
A small block with mass 0.0400 kg slides in a vertical circle of radius 0.500 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 4N . In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal...
A small block with mass 0.0475 kg slides in a vertical circle of radius 0.600 m...
A small block with mass 0.0475 kg slides in a vertical circle of radius 0.600 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 3.90 N . In this same revolution, when the block reaches the top of its path, point B, the magnitude of the...
A box with mass 0.0325 kg moves in a vertical circle that has a radius of...
A box with mass 0.0325 kg moves in a vertical circle that has a radius of 0.600 m on the inside of a circular track. When the box is at the bottom of its path, point A, the magnitude of the normal force exerted on the box by the track has magnitude 3.75 N. When the box reaches the top of its path, point B, the magnitude of the normal force exerted on the box has magnitude 0.665 N. How...
In the figure, a small block of mass m = 0.121 kg slides down a frictionless...
In the figure, a small block of mass m = 0.121 kg slides down a frictionless surface from an initial height of h = 0.850 m and then sticks to a uniform vertical rod of mass M = 0.879 kg and length L = 1.83 m. The rod pivots about point O through an angle θ before momentarily stopping. Find θ (in degrees).
A block of mass ? slides along a frictionless surface with a speed ? and collides...
A block of mass ? slides along a frictionless surface with a speed ? and collides with a stationary block of mass 2? . After the collision the block of mass ? rebounds with a speed of ?⁄2. What is the greatest speed ???? that the block of mass 2? can have after the collision?
A block with the mass M slides with no friction on a horizontal surface (no friction)...
A block with the mass M slides with no friction on a horizontal surface (no friction) with speed x when it collides and sticks to the second block with also mass M that is attached to a third block with mass M via an ideal spring with spring constant k. Before collision, spring has its natural length and the blocks attached to it are at rest. Find an expression for the maximum kinetic energy of the third block post collision...
A particle of mass m is constrained to a circle of radius r0: that is, the...
A particle of mass m is constrained to a circle of radius r0: that is, the potential for the particle is 0 when the particle is anywhere on that circle and infinite everywhere else, ?(?) = 0 (r=r0) V(r) = ∞ (? ≠ ?0) Find the eigenvalues and normalized eigenfunctions of the Hamiltonian for a particle on a ring. What is the degeneracy of eigenvalues for this system. how many eigenfunctions are there for each eigenvalue)?
A disk of radius a and mass m is suspended at its centre by a vertical...
A disk of radius a and mass m is suspended at its centre by a vertical torsion wire which exerts a couple -cθ on the disk when it is twisted through an angle θ from its equilibrium position. Show that oscillations of the disk are simple harmonic, and obtain an expression for the period. A wire ring of mass m and radius a/2 is dropped concentrically onto the disk and sticks to it. Calculate the changes to (a) the period...
A block with mass m =6.2 kg is hung from a vertical spring. When the mass...
A block with mass m =6.2 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.22 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.6 m/s. The block oscillates on the spring without friction. After t = 0.32 s what is the speed of the block? At t = 0.32 s what is the magnitude of the net force on the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT