give the expression for the velocity of an object rolling down an incline without slipping in terms...
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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 x‑ o, the magni tude 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