As a torque activity, your Physics TA sets up the arrangement shown below. A uniform rod of mass m, = 138 g and length L = 100.0 cm attached to the wall with a pin as shown. Cords are attached to the rod at the r₁ = 10.0 cm and r₂ = 90.0 cm mark, passed over pulleys, and masses of m₁ = 266 g and m₂ = 157 g are attached. Your TA asks you to determine the following. (a) The position r on the rod where you would suspend a mass m₂ = 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle 8, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). "3= m N OF (b) Let's now remove the mass m₂ and determine the new mass m4 you would need to suspend from the rod at the position r4 = 20.0 cm in order balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Express the direction of the force the pin exerts on the rod as the angle 8, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). m4= = fp = 8F = kg N (c) Let's now remove the mass m, and determine the mass me you would suspend from the rod in order to have a situation such that the pin does not exert a force on the rod and the location rs from which you would suspend this mass in order to balance the rod and keep it horizontal if released from a horizontal position. mg = "5= kg m

Needs Complete typed solution with 100 % accuracy.

A counterweight of mass m = 4.00 kg is attached to a light cord that is wound around a pulley as in Figure PI 1.18. The pulley is a thin hoop of radius R = 8.00 cm and mass M = 2.00 kg. The spokes have negligible mass, (a) What is the magnitude of the net torque on the system about the axle of the pulley? (b) When the counterweight has a speed v, the pulley has an angular speed a) = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley, (c) Using your result from part (b) and? = dL/dt, calculate the acceleration of the counterweight.

what is the correct answer?

answers: Q27) 2.4 Q28) 0.84 Q29) 94KW

Suppose you exert a force of 167 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N m) is exerted? (Enter the magnitude.) 42.585 N.m (b) What is the angular acceleration (in rad/s²) assuming negligible opposing friction? (Enter the magnitude.) 2.44 X rad/s² (c) What is the angular acceleration (in rad/s²) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) rad/s²

A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The rotational inertia of the lever is 35 kg*m2. Calculate the angular acceleration of the lever.

Show the complete solution. Please make sure that your handwritten is readable. Thank you.

Link 2 is isolated from a kinematic diagram and shown in the figure below. The link is rotating counterclockwise at a rate of 263 rpm. Determine the velocity of points A and B. Use y = 53° and ẞ= 72° A 8" γ B B 18" Enter the angular velocity, rounded to two decimal places, in rad/s. Answer: Check Enter the speed of point A, rounded to the nearest unit, in in/s. Answer: your answer must be a positive acute angle Check

Fig. 1 shows two blocks connected by a light cord that passes over a pulley. The pulley, which is mounted in horizontal frictionless bearings, has a radius of R = 0.10 m and a uniform mass of M = 2.0 kg. The two blocks have masses m1 = 4.0 kg and m2 = 7.0 kg, respectively. Assume that the cord does not slip over the pulley. (a) Show that the rotational inertia of the pulley about its central axis is given by I=1/2mR2. (b) What is the magnitude of the net torque on the system about the axle of the pulley? (c) Determine the magnitude of the total angular momentum of the system about the axle of the pulley when the blocks are moving at speed v. (Express your answer in terms of v only.) (d) Using parts (a) and (b), calculate the linear acceleration of the two blocks.