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Q. A crane of weight W has a length (wheelbase) c, and its center of mass is midway between the wheels (i.e., the mass of the lifting arm is negligible). The arm extending from the front of the crane has a length a and makes an angle theta with the horizontal. The crane contacts the ground only at its front and rear tires. Given the angle theta_min, what is the highest weight (or load) W_L,max that this crane can lift without tipping forward? (Recall that weight has units of force.)
Express the highest load in terms of theta_min and other quantities given in the problem introduction.
A toy car X of mass .200 kg moves along a frictionless surface with a velocity of .180 m/s. It collides with another toy car Y, with the mass .250 kg and a speed of .130 in the same direction.
Two runners start simultaneously from the same point on the circular 200 m track and run in opposite directions. One runs at a constant speed of 6.14 m/s and the other runs at a constant speed of 5.43m/s. When they first meet, for how long a time ..
What force does a 55 kg passenger exert on the seat when she is at the top of the Ferris wheel.
A 12 kg weather rocket generates a thrust of 250 N. The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is 560 N/m, is anchored to the ground. What is the rocket's speed while the s..
Ultrasound probes can resolve structural details with sizes approximately equal to the wavelength of an ultrasound waves themselves. What is a size of the smallest feature observable in human tissue while examined with 25 MHz ultrasound? The speed of..
A flight attendant pulls her 65N flight bag a distance of 388m along a level airport floor at a constant velocity. The force she exerts is 38 N at an angle of 51° above horizontal.
The burning of gasoline in a car releases about 3 × 10^4 kcal/gal. If a car averages 43 km/gal when driving 90 km/h, which requires 20 hp, what is an efficiency of the engine under those conditions.
There are four coils of wire being used as electromagnets. They all have the equal size and are made up of the same material but have a different number of loops.
Compute the number of g's a person would experience if she could stand on the equator of Jupiter. Use following astronomical data for Jupiter: mass = 1.9 multiplied by 1024 kg, equatorial radius = 7.10 multiplied by 104 km, rotation period 9 hr 55 mi..
The leg and cast weigh 177N (w1). Find out the weight w2 and the angle α required so that no force is exerted on the hip joint by the leg plus cast.
From what height will you have to drop the rock on Earth so that the fall-time on both planets is the same.
A random sample of 42 college graduates revealed that they worked the average of 5.5years on the job before being promoted. The population standard deviation was 1.1 years. Using 0.99 degree of confidence, what is the confidence interval for the po..
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