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Find T_1, the magnitude of the force of tension in string 1. Express your answer in terms of appropriate constants and any of the given variables.
What is the distance between the top of the wood cube (after it has come to rest) and the interface between the oil and water?
An artist friend of yours needs help hanging a 500 lb sculpture from the ceiling. For artistic reasons, she wants to use just two ropes.
Suppose that the block gets bumped and undergoes a small vertical displacement. Find the resulting angular frequency of the block's oscillation.
What is the frequency heard by a person driving 50 km/h directly toward a factory whistle (f = 800 Hz) if the air temperature is 0 degrees C?
A block of iron of mass m-iron is suspended from a spring scale and completely submerged in the oil.
Compute the forces in the active muscle as a function of the angle of lift of the foot,theta,and of the fixed lengths of the relevant bones.
On it is resting half of an identical beam, as shown in the figure attached. What is the vertical support at the right end. How about at the left end?
If a 0.15 kg mass is suspended 75 cm from the pivoted end, what is the tension in the string?
Calculate the potential and kinetic energy of the system at t = T/6.What is the speed of the mass when it is 13 cm from equilibrium?
Assume L1 = 30.6 cm, L2 = 7.90 cm, L3 = 15.0 cm, L4 = 5.00 cm, L5 = 16.9 cm and L6 = 5.00 cm. (Neglect the weights of the crossbars.)
Find the maximum weight W_max of the cat such that the table does not tip over and break the vase.
If the mass in letter c is 0.74 kg, what is the spring's potential energy to the nearest tenth of a joule?
The crane is pivoted with a frictionless pin at A and rests against a smooth support at B. Find the reaction forces at A and B.
A loaded flat bottom barge floats in fresh water. The bottom of the barge is 4.06m below the water line.
A small plastic ball of mass 6.39 x 10-3 kg and charge +0.164 C is suspended from an insulating thread and hangs between the plates of a capacitor
With the measured directions for the first and second quadrant forces, and the magnitude of the force measurement along the negative y direction.
In the figure, a 6.00-m-long, uniform beam is hanging from a point 1.00 m to the right of its center.
A 75 g bungee cord has an equilibrium length of 1.20 m. The cord is stretched to a length of 1.80 m, then vibrated at 20 Hz.
A steel wire (8 m long and 60 g mass) is clamped between two parallel walls. Two equal masses are hung from the wire at equal distance from each end.
A helium filled balloon is attched to a 2 meter long, 0.050 kg string. The ballon is spherical with a radius of 0.40 m.
What are the energies of the four lowest vibrational states of these ions?Suppose this crystal consists of aluminum ions with an equilibrium spacing of 0.30 nm.
The weight is evenly distributed and each spring scale reads 2.4 N. With this information and the conditions of static equilibrium.
A 2.00 kg block is held in equilibrium on an incline of angle = 70° by a horizontal force applied in the direction shown in Figure.
Show that after the force is removed, the displacement of the mass from its equilibrium position (x=Xe, where x is down) is: