A small rock with mass 0.12 kg is fastened to a massless string with length 0.80 m to form a pendulum. The pendulum is swinging so as to make a maximu

An airplane propeller is 2.08 m in length (from tip to tip) and has a mass of 117 kg. When the airpline's engine is first started, it applies a constant torque of ${\displaystyle 1950N\cdot m}$ to the propeller, which starts from rest.
a) What is the angular acceleration of the propeller? Model the propeller as a slender rod.
b) What is the propeller's angular speed after making 5.00 revolutions?
c) How much work is done by the engine during the first 5.00 revolutions?
e) What is the instantaneous power output of the motor at the instant that the propeller has turne through 5.00 revolutions?

A 292 kg motorcycle is accelerating up along a ramp that is inclined 30.0° above the horizontal. The propulsion force pushing the motorcycle up the rampis 3020 N, and air resistance produces a force of 250 N that opposes the motion. Find the magnitude of the motorcycles

The rotor (flywheel) of a toy gyroscope hasmass 0.140 kg. Its moment of inertia about its axis is . The mass of the frame is 0.0250 kg. The gyroscopeis supported on a single pivot javascript:void(0); with its center of mass a horizontaldistance of 4.00 cm from the pivot. The gyroscope is precessing ina horizontal plane at the rate of one revolution in 2.20 s. Find the upward force exerted by thepivot. Find the angular speed with which the rotoris spinning about its axis, expressed in rev/min. Comments

In Figure, a stationary block explodes into two pieces and R that slide across a frictionless floor and then into regions with friction, where they stop. Piece L, with a mass of 2.6 kg, encounters a coefficient of kinetic friction ${\displaystyle \mu L=0.40}$ and slides to a stop in distance deal = 0.15 m. Piece R encounters a coefficient of kinetic friction ${\displaystyle \mu R=0.50}$ and slides to a stop in distanced R=0.30 m. What was the mass of the original block?

A sinusoidal electromagnetic wave is propagating in vacuum in the ${\displaystyle +z-direction}$. If at a particular instant and at a certain point in space the electric field is in the ${\displaystyle +x-direction}$ and has magnitude ${\displaystyle 4.00\frac{V}{m}}$, what are the magnitude and direction of the magnetic field of the wave at this same point in space and instant in time?

A 100.0 mL sample of spring water was treated to convert anyiron present to ${\displaystyle F{e}^{2+}}$. Addition of 25.00mL of a ${\displaystyle 0.004951M{K}_{2}C{r}_2{O}_7}$ solution resulted in the reaction.
${\displaystyle 6F{e}^{2+}+C{r}_2{O}_7^{2-}+14H^{+}?6F{e}^{3+}+2C{r}^{3+}+7H_{2}O}$
The excess ${\displaystyle K_{2}C{r}_2{O}_7}$ wasback-titrated with 6.13 mL of a 0.05753\ M\ ${\displaystyle F{e}^{2+}}$ solution. Calculate the ppm of iron in the sample.

The peak current through a capacitor is 10.0 mA. What is the current if
a. The emf frequency is doubled?
b. The emf peak voltage is doubled (at the original frequency)?
c. The frequency is halved and, at the same time, the emf is doubled?