A uniform chain of total mass m is laid out straight on a frictionless table and...
A uniform chain of total mass m is laid out straight on a frictionless table and held stationary so that one-quarter of its length, L = 1.31 m, is hanging vertically over the edge of the table. The chain is then released. Determine the speed of the chain at the instant when only one-quarter of its length remains on the table.
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A uniform chain of total mass m is laid out straight on
a frictionless table and...
A uniform chain of total mass m is laid out straight on a frictionless table and...
A uniform chain of total mass m is laid out straight on a frictionless table and held stationary so that one-quarter of its length, L = 1.31 m, is hanging vertically over the edge of the table. The chain is then released. Determine the speed of the chain at the instant when only one-quarter of its length remains on the table.
L-M 7. A uniform flexible chain of length L, with mass per unit length A, passes...
L-M 7. A uniform flexible chain of length L, with mass per unit length A, passes over a small, frictionless, massless pulley. It is released from a rest position with a length of chain y hanging from one side and a length l-y from the other side. Find the acceleration a as a function of y a(y)-?
L-M 7. A uniform flexible chain of length L, with mass per unit length A, passes...
L-M 7. A uniform flexible chain of length L, with mass per unit length A, passes over a small, frictionless, massless pulley. It is released from a rest position with a length of chain y hanging from one side and a length l-y from the other side. Find the acceleration a as a function of y a(y)-?
A uniform chain of mass m and length is at the verge of sliding under the...
A uniform chain of mass m and length is at the verge of sliding under the effect of gravity of the hanging part. Find the 1/3 Fig. 8 a. coefficient of friction, between chain and table. b. work done by friction and gravity till the chain leaves the table if the hanging part is pulled gently and released. c. speed of the chain at the time of leaving the table in part (b). d. work done by the external force...
A uniform flexible chain of length L, with mass per unit length A, passes over a small (radius is negligible), frictionless pulley, as shown in figure 1. One side of the chain with length x is tied to a block with mass m. The chain and block are released
A uniform flexible chain of length L, with mass per unit length
A, passes over a small (radius is negligible), frictionless pulley,
as shown in figure 1. One side of the chain with length x is tied to
a block with mass m. The chain and block are released from a
rest position at t = 0 s. (Hint: the chain can be treated as a rope
with non-negligible mass)a. Find x such that the chain and the block are...
Problem 2. A massless string of length L passes through horizontal table. A hole in a a end of the string mo ves fricti...
Problem 2. A massless string of length L passes through horizontal table. A hole in a a end of the string mo ves frictionlessly point pass M at one on the table (i.e. with two degrees of freedom), and another point mass m hangs vertically from the other end. The system is in a uniform gravitational field with acceleration g. M m (a) Write the Lagrangian for the system. [13 points (b) Suppose the mass M on the table initially...
8.9.) A chain of mass m and length l lies on a horizontal table with a...
8.9.) A chain of mass m and length l lies on a
horizontal table with a portion hanging over the edgeof the table.
The only force acting on the system is the constant gravitational
force in the negative y- direction. Set up and solve Lagrange's
equation. Assume uniform mass density.
8.10.) a) Set up Lagrange's equations for the double pendulum
(Figure 8.8).
b) Assume that the amplitudes are very small. Simplify the
equations keeping only terms linear in the variables....
7. A block of mass M is held at rest on a horizontal table. A heavy...
7. A block of mass M is held at rest on a horizontal table. A heavy chain is attached to the block with part of the chain hanging over the table. The block and the chain can slide without friction. block table chain The block is released. Which one of the following graphs best represents the variation with time t of the speed v of the block as it moves on the table? 1 B. C. OL 0 0
m 2S0 A block of mass m1-3.80 kg initially at rest on top of a frictionless,...
m 2S0 A block of mass m1-3.80 kg initially at rest on top of a frictionless, horizontal table is attached by a lightweight string to a second block of mass m2 2.90 kg hanging vertically from the edge of the table and a distance h 0.430 m above the floor (as shown in the figure below). If the edge of the table is assumed to be frictionless, what is the speed with which the first block leaves the edge of...
11. A uniform thin rod of length L and mass M, pivoted at one end as...
11. A uniform thin rod of length L and mass M, pivoted at one end as shown above, is held horizontal and then released from rest. Ignore all effects due to friction. (a) Find the angular speed of the rod as it sweeps through the vertical position. solution: 、13g / L (b) Find the force exerted on the rod by the pivot at this instant. solution Mg (c) Starting from the horizontal position, what initial angular speed would be needed...
L-M 7. A uniform flexible chain of length L, with mass per unit length A, passes over a small, frictionless, massless pulley. It is released from a rest position with a length of chain y hanging from one side and a length l-y from the other side. Find the acceleration a as a function of y a(y)-?
L-M 7. A uniform flexible chain of length L, with mass per unit length A, passes over a small, frictionless, massless pulley. It is released from a rest position with a length of chain y hanging from one side and a length l-y from the other side. Find the acceleration a as a function of y a(y)-?
A uniform chain of mass m and length is at the verge of sliding under the effect of gravity of the hanging part. Find the 1/3 Fig. 8 a. coefficient of friction, between chain and table. b. work done by friction and gravity till the chain leaves the table if the hanging part is pulled gently and released. c. speed of the chain at the time of leaving the table in part (b). d. work done by the external force...
Problem 2. A massless string of length L passes through horizontal table. A hole in a a end of the string mo ves frictionlessly point pass M at one on the table (i.e. with two degrees of freedom), and another point mass m hangs vertically from the other end. The system is in a uniform gravitational field with acceleration g. M m (a) Write the Lagrangian for the system. [13 points (b) Suppose the mass M on the table initially...
8.9.) A chain of mass m and length l lies on a
horizontal table with a portion hanging over the edgeof the table.
The only force acting on the system is the constant gravitational
force in the negative y- direction. Set up and solve Lagrange's
equation. Assume uniform mass density.
8.10.) a) Set up Lagrange's equations for the double pendulum
(Figure 8.8).
b) Assume that the amplitudes are very small. Simplify the
equations keeping only terms linear in the variables....
7. A block of mass M is held at rest on a horizontal table. A heavy chain is attached to the block with part of the chain hanging over the table. The block and the chain can slide without friction. block table chain The block is released. Which one of the following graphs best represents the variation with time t of the speed v of the block as it moves on the table? 1 B. C. OL 0 0
m 2S0 A block of mass m1-3.80 kg initially at rest on top of a frictionless, horizontal table is attached by a lightweight string to a second block of mass m2 2.90 kg hanging vertically from the edge of the table and a distance h 0.430 m above the floor (as shown in the figure below). If the edge of the table is assumed to be frictionless, what is the speed with which the first block leaves the edge of...
11. A uniform thin rod of length L and mass M, pivoted at one end as shown above, is held horizontal and then released from rest. Ignore all effects due to friction. (a) Find the angular speed of the rod as it sweeps through the vertical position. solution: 、13g / L (b) Find the force exerted on the rod by the pivot at this instant. solution Mg (c) Starting from the horizontal position, what initial angular speed would be needed...
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