Question
In: Physics
A particle of mass m rests on a smooth plane. The plane is raised to an...
A particle of mass m rests on a smooth plane. The plane is raised to an inclination angle (theta) at a constant rate ( alpha). At time=0, theta=0. Causing the particle to move down the plane. Determine the motion of the particle. ( You need to use Euler-Lagrange mechanics)
Solutions
genius_generous answered 1 year agoRelated Solutions
A particle of mass m is constrained to lie along a frictionless, horizontal plane subject to...
A particle of mass m is constrained to lie along a frictionless,
horizontal plane subject to a force given by F (x) = −kx + kx^3/A^2
where k and A are positive constants. The particle is projected
from x = 0 to the right with initial kinetic energy T0. Find the
turning points of the motion and the condition the total energy of
the particle must satisfy if its motion is to exhibit turning
points.
A particle of mass m is constrained to lie along a frictionless, horizontal plane subject to...
A particle of mass m is constrained to lie along a frictionless,
horizontal plane subject to a force given by F (x) = −kx + kx^3/A^2
where k and A are positive constants. The particle is projected
from x = 0 to the right with initial kinetic energy T0. Find the
turning points of the motion and the condition the total energy of
the particle must satisfy if its motion is to exhibit turning
points.
A mass ??? rests on a smooth horizontal table and is attached by two inelastic strings...
A mass ??? rests on a smooth horizontal table and is
attached by two inelastic strings to masses ?1?? and ?2?? with (?1
> ?2) which is hung over 2 smooth pulley at opposite edges of
the table. Find the acceleration of the system and the tension in
the string.
The particle has a mass of 0.6 kg and is confined to move along the smooth...
The particle has a mass of 0.6 kg and is confined to move along
the smooth horizontal slot due to the rotation of the arm OA.
Assume the particle contacts only one side of the slot at any
instant. The arm has an angular acceleration of θ¨ = 3 rad/s2 when
θ˙ = 2 rad/s at θ = 30∘. (Figure 1) Part A Determine the magnitude
of the force of the rod on the particle when θ = 30∘. Express...
A block of mass 5 kg rests on a 30° inclined plane. The surface is rough....
A block of mass 5 kg rests on a 30° inclined plane. The surface
is rough. The coefficient of friction between the surface and the
block is 0.5. Find the frictional force exerted by the plane on the
block. (N)
A ladder of length L = 2.3 m and mass m = 14 kg rests on...
A ladder of length L = 2.3 m and mass m = 14 kg rests on a floor
with coefficient of static friction μs = 0.54. Assume
the wall is frictionless.
A person with mass M = 69 kg now stands at the very top of the
ladder.
What is the normal force the floor exerts on the ladder?
What is the minimum angle to keep the ladder from sliding?
A ladder of length L = 2.8 m and mass m = 16 kg rests on...
A ladder of length L = 2.8 m
and mass m = 16 kg rests on a floor with coefficient of static
friction ?s = 0.51. Assume the wall is
frictionless.
1)
What is the normal force the floor exerts on the ladder?
2) What is the minimum angle the
ladder must make with the floor to not slip?
3) A person with mass M = 69 kg now
stands at the very top of the ladder. What is the...
An 8.0 m, 280 N uniform ladder rests against a smooth wall. The coefficient of static...
An 8.0 m, 280 N uniform ladder rests against a smooth wall. The
coefficient of static friction between the ladder and the ground is
0.65, and the ladder makes a 50.0° angle with the ground. How far
up the ladder can an 870 N person climb before the ladder begins to
slip?
An 8.0 m, 240 N uniform ladder rests against a smooth wall. The coefficient of static...
An 8.0 m, 240 N uniform ladder rests against a smooth wall. The
coefficient of static friction between the ladder and the ground is
0.55, and the ladder makes a 50.0° angle with the ground. How far
up the ladder can an 700 N person climb before the ladder begins to
slip?
______ m
Particle A of mass m, initial velocity 20i (m/s) has a collision with a stationary particle...
Particle A of mass m, initial velocity 20i (m/s) has a collision
with a stationary particle B of mass 2m. After collision,
VA(final)=10i+5j (m/s). a) Find VB(final) if the system (particle A
plus B) linear momentum is conserved (both i and j directions).
What are the velocities of center of the system before and after
collision?b) Find the system’s % KE lost due to the collision
(m=20.0gram). c) If the collision time between A and B is 0.050 s,
what...
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