A 12 kg block rests on a 33° inclined surface of friction coefficient of 0.34 and is attached by a non-slipping light string over a pulley of mass 46 and moment of inertia I = 0.41 MR2 to a 20 kg hanging mass. If g = 9.8 m/s2, what is the tension in the connecting string?

A 0.460-kg pendulum bob passes through the lowest part of its path at a speed of 3.42 m/s. (a) What is the magnitude of the tension in the pendulum cable at this point if the pendulum is 70.0 cm long? 12.194 (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.) 79.05 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.° (c) What is the magnitude of the tension in the pendulum cable when the pendulum reaches its highest point? .856 Your response differs from the correct answer by more than 10%. Double check your calculations. N

While exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contracting the muscles in the back of the upper leg. The weight has mass 10.5 kg, and is a distance of 28.0 cm from the knee joint. The moment of inertia of the lower leg is 0.900 kg m², the muscle force is 1430 N, and its effective perpendicular lever arm is 3.45 cm. Find the magnitude of the angular acceleration a of the weight. 26.6 rad/s2 How much work W is done if the leg rotates through an angle of 10.0° with a constant force exerted by the muscle? W : 7.99 J

A potter's wheel-a thick stone disk of radius 0.500 m and mass 115 kg-is freely rotating at 50.0 rev/min. The potter can stop the wheel in 6.00 s by pressing a wet rag against the rim and exerting a radially inward force of 71.0 N. Find the effective coefficient of kinetic friction between the wheel and rag.

A 10 kg block rests on a 30° inclined surface of friction coefficient of 0.22 and is attached by a non- slipping light string over a pulley of mass 48 and moment of inertia I = 0.6 MR2 to a 13 kg hanging mass. If g = 9.8 m/s2, what is the tension in the connecting string?

A hungry bear weighing 700 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (see figure below). The beam is uniform, weighs 200 N, and is 6.00 m long, and it is supported by a wire at an angle of e = 60.0°. The basket weighs 80.0 N. Goodies (a) Draw a free-body diagram for the beam. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) When the bear is at x = 1.00 m, find the tension (in N) in the wire supporting the beam and the components of the force exerted by the wall on the left end of the beam. T = Fx = N Fy = N (c) If the wire can withstand a maximum tension of 750 N, what is the maximum distance (in m) the bear can walk before the wire breaks?

Three forces are acting on the eyebolt as shown. All forces intersect at a common point O. Determine the resul- tant magnitude and direction. Scale: 1 mm = 100 N. 2.2 = 3 KN 35° B00 NY s=4

A thin rod of mass 0.650 kg and length 1.48 m is at rest, hanging vertically from a strong, fixed hinge at its top end. Suddenly, a horizontal impulsive force 16.7 N is applied to it. Suppose the force acts at the bottom end of the rod. Find the acceleration of its center of mass.

What is the magnitude of the friction force on the disk?

A potter’s wheel having a radius of 0.50 m and a momentof inertia of 12 kg . m2 is rotating freely at 50 rev/min. Thepotter can stop the wheel in 6.0 s by pressing a wet rag againstthe rim and exerting a radially inward force of 70 N. Find the effective coefficient of kinetic friction between the wheel andthe wet rag.