A 0.500-kg pendulum bob passes through the lowest part of its path at a speed of 3.48 m/s. (a) What is the magnitude of the tension in the pendulum cable at this point if the pendulum is 76.0 cm long? (b) When the pendulum reaches its highest point, what angle does the cable make with the vertical? (Enter your answer to at least one decimal place.) (c) What is the magnitude of the tension in the pendulum cable when the pendulum reaches its highest point? Need Help? Read It

A speedboat with a mass of 505 kg (including the driver) is tethered to a fixed buoy by a strong 29.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 12300 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m) × v², where v denotes the boat's speed. Ignore any drag force on the cable. force: N & TOOLS x10

A block of mass mA=20kg on an inclined plane and a bucket of mass mbucket=16kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. The inclined plane makes an angle of θ=46o with the horizontal and the coefficients of kinetic and static friction are μk=0.21 and μs=0.58. The system is initially at rest and a student starts to fill the bucket with balls, each of whose mass is 100 grams, one at a time until the system starts to move. Determine the number of balls the student placed in the bucket. Take g=9.80m/s2 and please note that the number balls must be an integer!

A 1,375 N dowel is held in place by a light cord at an angle = 25.5° to the horizontal as shown in the figure. The dowel is attached to a pivot at the bottom, and a mass of weight w= 1,825 N hangs from its top. The dowel makes an angle of p = 64.5° with the horizontal. Assume the dowel is uniform. (a) Find the tension in the supporting cord (in kN). KN (b) Find the components of the reaction force (in kN) exerted by the floor on the dowel. horizontal component: magnitude direction KN -Select-O vertical component: magnitude direction kN --Select-O

A 1.5-lb slider is propelled upward at A along the fixed curved bar which lies in a vertical plane. If the slider is observed to have a speed of 10.6 ft/sec as it passes position B, determine (a) the magnitude N of the force exerted by the fixed rod on the slider and (b) the rate v at which the speed of the slider is changing (positive if speeding up, negative if slowing down). Assume that friction is negligible. 29 2.8' Answers: N = Ib i ft/sec?

A fisherman has caught a fish on his pole, and to keep the pole steady he has to apply an upward force of F2 = 265 N at an angle of 58° with respect to the pole (see figure). The length of his pole is 3.2 m, and he is holding it a distance 0.65 m from the end, where he is applying a downward force F1.  Part (a)  With how much force, F1, in newtons, does he have to push straight downward on the end of his pole to keep the pole from moving? You may assume the pole is massless.  Part (b)  What is the mass of the fish on the end of the pole, in kilograms?

While installing new spark plugs in your car, the manual specifies they be tightened to 74 Nm. If you can only apply a force to the wrench 21 cm from the plug, and only at an angle of 53 degrees, What magnitude force should you apply to the wrench?

To run Slap-chop and use Sham-wow you need to be in shape. For a work out, the man in the figure uses a device consisting of four springs arranged as shown. Each spring has a spring constant of 75.5 N/m. The hands holding the unstretched device are 36.34 cm apart. If the person can extend the springs to 61.87 cm apart, what is the maximum lateral force exerted by each hand?

A fence post of mass m = 8 kg supports a fence with three lengths of barbed wire. The bottom wire is a distance d = 0.35 m from the ground and each wire is a distance 0.35 m above the previous one. Each of these three wires has the tension on it. For this problem, assume that the force exerted by these wires is purely horizontal. An additional guy wire is used to keep the pole upright with a tension of Fa = 490 N. The guy wire attaches to the post at a point h = 0.86 m above the ground and makes an angle of θ = 45 with respect to the horizontal. Write an expression for the tension in any one of the three fence wires.  What is the normal force that the ground exerts upward on the post?