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A crane has an arm length of 20 m inclined at 30deg with the vertical. It carries a container of mass of 3 ton suspended from the top end of the arm. Find the torque produced by the gravitational force on the container about the point where the arm is fixed to the crane. Given: 1 ton = 1000 kg; neglect the weight of the arm. Hint: take the force and perpendicular distance from the point where the arm is fixed to the crane.
A certain planet spins on its axis 2 a day and orbits the sun 13 a year. Determine the average angular velocity (in rad/s) of the earth as it spins on its axis.
A person is riding a bicycle, and its wheels have an angular velocity of 15.15 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 13.47 revolutions. How much time does it take for the bike to come to rest?
A woman whose weight is 722 N is poised at the right end of a diving board with a length of 8.92 m. The board has negligible weight and is bolted down at the left end while being supported 2.79 m away by a fulcrum. Find force that the fulcrum exerts in the board.
after 2 hours the displacement of the car is 150 km north. the initial displacement of the car is 0 what is the average velocity of the car
Plot a graph of over damped oscillation with values in MS Excel.
Plot a graph of under damped oscillation with values in MS Excel.
A 210-kg spacecraft crash-landed on a desert with a velocity of 311 kph and ended up 0.810 m underneath the soil.
a. Draw a free-body diagram for the spacecraft.
b. Determine the spacecraft’s velocity in m/s.
c. Solve the spacecraft’s acceleration
d. Determine the force the ground exerted on the spacecraft during the crash landing
e. Solve the duration of the crash
A father lifts a toddler 1.5 m up in the air. The child gains 187.5 J of energy in her gravitational potential energy store as a result. What is the mass of the toddler? Give your answer to 1 decimal place. (Assume that the gravitational field strength is 10 N/kg.)
Determine the force of gravitational attraction between the earth (m = 5.98 x 10^24 kg) and a 70-kg physics student if the student is standing at sea level, a distance of 6.38 x 10^6 m from earth's center.
