Download Time independent Kinematic Equation for vertical displacement

Give the expression for the velocity of
an object rolling down an incline
without slipping in terms of h (height),
M(mass), g, I(Moment of inertia) and
radius of the object
Express the range of an object in
terms of its velocity, launch angle,
and g
Determine the vertical displacement
as a function of the horizontal
displacement.
Determine the max height of a
projectile as a function of initial speed,
launch angle and gravity.
Determine a particle’s kinetic energy
as a function of time, with a mass of m
and its position x is described as a
function of time t by x = t3/2
An object is dropped from rest from
the top of a 400 m cliff on Earth. If
air resistance is negligible, what is
the distance the object travels
during the first 6 s of its fall?
Determine the velocity of an object
falling in free fall knowing the change
in the vertical displacement.
Calculate the moment of inertia of the
following situation
Determine the period of
revolution of a satellite in
terms of Me, Re, G and h
Determine the force between the two
blocks sliding on a frictionless surface
in terms of M,m and F
M
m
F
A particle is moving in a circle of radius
2m according to the relation  = 3t2 +
2t, where  is measured in radians and
t in seconds. Express the linear velocity
as a function of t.
Determine the acceleration of gravity
of a Planet one-fourth that of the
Earth, and its diameter is one-half that
of the Earth?
A person pushes a box across a
horizontal surface at a constant speed
of 0.5 meter per second. The box has a
mass of 40 kilograms, and the
coefficient of sliding friction is 0.25.
The power supplied to the box by the
•Determine the period of the .1kg
weight oscillating on the spring when k
= 40N/m?
•Determine the amplitude of the .1kg
weight oscillating on the spring when k
= 40N/m?
•Determine the angular velocity of the
.1kg weight oscillating on the spring
when k = 40N/m?
A particle of mass m moves with a
constant speed v along the dashed
line y = a. When the x-coordinate
of the particle is xo, the magnitude
of the angular momentum of the
particle with respect to the origin
of the system is
Torque as a function of applied force
and torque arm
Determine the center of mass of the
object below
L
Mass M1 is moving with speed v
toward stationary mass M2. The speed
of the center of mass of the system is?
If m2 > ma what is the acceleration of
m2
A cylinder rotates with constant angular
acceleration about a fixed axis. The cylinder’s
moment of inertial about the axis is I and has a
angular velocity w at time t. What is the angular
momentum at time t.
A cylinder rotates with constant angular
acceleration about a fixed axis. The cylinder’s
moment of inertial about the axis is I and has a
angular velocity w at time t. What is the kinetic
energy at time t.
The position of the spring as a function
time
The velocity of the spring as a function
time
The Energy of the spring as a function
time
Two identical massless springs are hung from a
horizontal support. A block of mass 1.2
kilograms is suspended from the pair of springs,
as shown above. Determine k when in
equilibrium, each spring is stretched an
additional 0.15 meter.
What is the period of a pendulum
Solve for m in terms of m1 and m2
Relating momentum and energy
Relating torque and work
A person pushes a box with mass m
across a horizontal surface at a
constant speed of v. Determine the
power of the box?
Determine the power to lift a mass m
with constant velocity a vertical
distance H in time T.
Finding the velocity of a orbiting body
Stress
Strain
Young’s modulus
Rotational impulse
Work energy theorem
Work
Rotational work
Acceleration of a spring
Parallel axis theorem
Velocity of a rock with changing mass
Hook’s law
Force of Drag
Final velocity of a system after two
objects undergo a inelastic collision
Hook’s Law
Total energy of a rotating object
Conservation of momentum equation