Use the free body diagram and Newton's 2nd law to determine an expression for the Tension in the string from the forces in the vertical direction (should depend on m, g, and 0 only). Tcose Tsine mg Tension, T = (m)(g)(sine) 5. In the horizontal direction the mass moves in a circular path of radius R and speed v. Newton's Second Law here therefore tells us:
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as shown in figure, in vertical direction for equilibrium net force must be zero.
net force in vertical
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- Do number #3 and show how to get that answerA student spins a rubber stopper, tied to a string, over his head in a horizontal circle. The radius of the circle is, r, meters and the stopper has a mass of, m, grams. The stopper has period of, T, seconds, which results in a tension, 6.3 N. If the radius of the swing was changed by a factor of 2.4, what would be the resulting tension? Give your answer to 3 sig figs (1 decimal place in this case)Suppose that down at the docks, Popeye is pulling the objects shown below with a force of 985[N] in the horizontal direction, as shown below. Mass #2 (150.0[kg]) is connected to Mass #1 (50.0[kg]) by a single cable that is passed over an ideal pulley. The coefficient of kinetic friction between Mass #2 and the ledge is 0.254. He successfully moves the objects after they were at rest. What is the magnitude of the gravitational force on Mass #1? Express your answer in units of Newtons. What is the magnitude of the gravitational force on Mass #2? Express your answer in units of Newtons. What is the magnitude of the tension in the rope connecting the objects? Express your answer in units of Newtons. What is the magnitude of the acceleration of the objects? Express your answer in units of m/s2.
- A 11.8 kg block is placed at the top of a frictionless inclined plane angled at 49.3 degrees relative to the horizontal. When released (from rest), the block slides down the full 2.23 meter length of the incline. Calculate the acceleration of the block as it slides down the incline. [Start by drawing a free-body diagram for the block.) Note that all the information provided may not be necessary to solve the problem. Select the correct answer O 7.43 m/s O 4.05 m/s O 661 m/s O 5.32 m/s O 4.65m/s Your AnswarA box of mass 12 kg is pulled at a constant velocity with a cord that makes the angle 32 degrees as shown in the sketch. If the coefficient of kinetic friction between box and the surface at which it is sliding on is 0.21, and tension in the string is 13 N, what is the value of kinetic friction force? (Note: Use g = 10 m/s^2 and round answer to two significant figures. Learn about sig. fig. in Section 1.3 of book or from provided handout ) velocity = constant TAssume that Dwight Howard weighs 275 lb and can move horizontally with an acceleration of 21.6 ft/s2. However, he would be unable to do this in slippery socks. Determine the minimum coefficient of static friction that must be there between Howard's shoe and the court, so that he does not slip? (Shoe manufacturers pay close attention to such requirements.) Round the final answer to three decimal places. If Howard weighed 190 lb, rather than 275 lb, would the magnitude of the static friction force required to accelerate him at 21.6 ft/s2 be reduced? Would the resultant minimum coefficient of static friction obtained in part (a) of this problem change?
- Use the worked example above to help you solve this problem. A car travels at a constant speed of 35.0 mi/h (15.6 m/s) on a level circular turn of radius 40.0 m. What minimum coefficient of static friction, ?s, between the tires and the roadway will allow the car to make the circular turn without sliding?take the x-axis along the incline (say, downhill) and the y-axis perpendicular to the incline, say upwards and solve the problem again. Then write down Newton's 2nd law in the x- and y-direction again, and find the connection between FN and FGCould you tell the 34th solution
- Help me pleaseEx O The Fiqure below shows an object of mass (m) s tart From rest and slides along a frictionless angle (0) with the inclined plane which makes horizontal. an Show the free body diagram? the angle le) ? [ 0= 36. 86 ] the acceleration of the object? [a: 5.88 m/s How long does it take the crate to reach the bo Hom ? [t=1.3 s] Find 3m 4 mGiven the following information, how would you find the magnitude of the acceleration of the system. Express youranswer in terms of known quantities such as m1, m2, theta, k, xs, x0, and g. "A ball of mass m1 and block of mass m2 are attached by a lightweight cord that passes over a frictionless pulley of negligible mass, as shown in the figure below. The block lies on a smooth plane inclined at an angle 'theta'. The ball is attached to a spring whose spring constant is k and equilibrium position x0. The spring is then stretched so it measures a length xs. You may use the fact that the force due to a spring is opposite the stretch and equal to −kΔxstretch. The system is then released. You can assume that the acceleration due to gravity is given as g, and use the consistent coordinate system specified for each object."