A. In lab you assumed the pendulum rod (length 30.6 cm) was massless, with the cage...
A. In lab you assumed the pendulum rod (length 30.6 cm) was massless, with the cage (260 g) and ball (use 64 g) as a point mass at the end of the rod. Let’s repeat that calculation just so we are all using the same numbers. In lab, you related the final potential energy (use θ = 43 ° from vertical, where 0 ° corresponds to the initial (bottom) position) to the initial kinetic energy to get an initial velocity.
i. Find the final height of the mass.
ii. Find the change in potential energy.
iii. Set final potential energy equal to initial linear kinetic
energy, and find the initial velocity. iv. Convert this initial
linear velocity directly to an initial angular velocity.
v. Find the moment of inertia of this system (about the
pivot).
vi. Set final potential energy equal to initial rotational kinetic
energy, and find the initial angularvelocity.
vii. Are the answers to (iv) and (vi) the same?
Homework Answers
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A. In lab you assumed the pendulum rod (length 30.6 cm) was
massless, with the cage...
In lab you assumed the pendulum rod (length 30.6 cm) was massless, with the cage (260...
In lab you assumed the pendulum rod (length 30.6 cm) was massless, with the cage (260 g) and ball (use 64 g) as a point mass at the end of the rod. Let’s repeat that calculation just so we are all using the same numbers. In lab, you related the final potential energy (use θ = 43 ° from vertical, where 0 ° corresponds to the initial (bottom) position) to the initial kinetic energy to get an initial velocity. i....
Consider a pendulum rod (length 30.6 cm) with mass 10g, with the cage (250 g) and...
Consider a pendulum rod (length 30.6 cm) with mass 10g, with the
cage (250 g) and ball (64 g) as a point mass at the end of the rod.
θ = 43 °
i. Find the initial height of the center of mass (as a height
above the bottom cage/ball position).
ii. Find the final height of the center of mass.
iii. Find the change in potential energy.
iv. Set the final potential energy equal to the initial linear
kinetic...
NO 1. A small block with mass 0.500 kg is suspended from the endp' of a rigid massless rod that i...
NO 1. A small block with mass 0.500 kg is suspended from the endp' of a rigid massless rod that is 1.60 m long and free to pivot about the far end from the block. The block has an initial velocity of 2.00 m/s to the left at the moment that the rod is perfectly vertical. At that same moment a glob of muck, mmuck 0.040 kg, travelling to the right with constant velocity strikes the block and sticks to...
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NEED ASAP A pendulum is made up of a massless rod of length 1.6 m attached...
NEED ASAP A pendulum is made up of a massless rod of length 1.6 m attached to a 4 kg mass. It’s released from rest when the pendulum is horizontal. When the pendulum is vertical, the mass is moving at 4.8 m/s. a) Taking the gravitational potential energy to be zero at the bottom of the swing, what is the initial total mechanical energy? b) How much energy is lost due to air resistance as the pendulum moves from its...
Consider two pendula consisting of a piece of clay stuck to a massless rigid rod, which...
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2) A 1-meter rod of uniform density and mass 1 kilogram is attached at its upper...
2) A 1-meter rod of uniform density and mass 1 kilogram is attached at its upper end to a pivot, from which it can freely swing (like a pendulum). If it swings 30 degrees to the side, by how much has its gravitational potential energy changed. 5) Anticipating the effects of friction, air resistance, and the nature of the collision between the ball and the pendulum, rank from greatest to smallest: the final gravitational potential energy of the pendulum, the...
find the error in the calculation FE4 Two identical uniform thin rigid rods are held together...
find the error in the calculation
FE4 Two identical uniform thin rigid rods are held together at one end with an electromagnet. One of the rods is attached to a fixed pivot point, around which the magnetic two rods are rotating at a constant rate (there is no gravity present here). Suddenly the connector electromagnet is tumed off, and the rod not attached to the pivot flies away. Find the percentage change in kinetic energy of the system before and...
Q4 A ring of mass M and radius R is attached so that it can pivot asone of a rod of mass M and length 2R. the syste...
Q4 A ring of mass M and radius R is attached so that it can pivot asone of a rod of mass M and length 2R. the system is suspended by a pin at the other end of the rod and all in a uniform gravitational field,g; thus forming a double pendulum. The motion is restricted to a plane A) Show that the kinetic energy and potential energy can be written for small oscillations as: B) Find the natural frequencies...
Need help With Analysis questions. Ballistic Pendulum Lab In this lab, you will explore conservat...
Need help With Analysis questions.
Ballistic Pendulum Lab In this lab, you will explore
conservation of Energy and Momentum in an inelastic collision
between a projectile and a cardboard box suspended from a string.
In particular, you will see that the transfer of linear momentum is
easily accounted for in an inelastic collision, but the transfer of
kinetic energy is not easy to measure directly. This is because
Kinetic Energy in collisions transfers to vibrational, acoustic,
and potential energy. Once...
Consider a pendulum rod (length 30.6 cm) with mass 10g, with the
cage (250 g) and ball (64 g) as a point mass at the end of the rod.
θ = 43 °
i. Find the initial height of the center of mass (as a height
above the bottom cage/ball position).
ii. Find the final height of the center of mass.
iii. Find the change in potential energy.
iv. Set the final potential energy equal to the initial linear
kinetic...
NO 1. A small block with mass 0.500 kg is suspended from the endp' of a rigid massless rod that is 1.60 m long and free to pivot about the far end from the block. The block has an initial velocity of 2.00 m/s to the left at the moment that the rod is perfectly vertical. At that same moment a glob of muck, mmuck 0.040 kg, travelling to the right with constant velocity strikes the block and sticks to...
Consider two pendula consisting of a piece of clay stuck to a massless rigid rod, which is pivoted at its end. The two L- CEILING pendula are released from a horizontal orientation, as pivotV o pivot a drawn here, and allowed to swing down. On pendulum 1, the clay s stuck to the midpoint of the rod·On pendulum Pendulum 2, it's stuck to the end of the rod. In both cases, the rods have the same length, and the pieces...
find the error in the calculation
FE4 Two identical uniform thin rigid rods are held together at one end with an electromagnet. One of the rods is attached to a fixed pivot point, around which the magnetic two rods are rotating at a constant rate (there is no gravity present here). Suddenly the connector electromagnet is tumed off, and the rod not attached to the pivot flies away. Find the percentage change in kinetic energy of the system before and...
Q4 A ring of mass M and radius R is attached so that it can pivot asone of a rod of mass M and length 2R. the system is suspended by a pin at the other end of the rod and all in a uniform gravitational field,g; thus forming a double pendulum. The motion is restricted to a plane A) Show that the kinetic energy and potential energy can be written for small oscillations as: B) Find the natural frequencies...
Need help With Analysis questions.
Ballistic Pendulum Lab In this lab, you will explore
conservation of Energy and Momentum in an inelastic collision
between a projectile and a cardboard box suspended from a string.
In particular, you will see that the transfer of linear momentum is
easily accounted for in an inelastic collision, but the transfer of
kinetic energy is not easy to measure directly. This is because
Kinetic Energy in collisions transfers to vibrational, acoustic,
and potential energy. Once...
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