A uniform rod of mass m, = 153 g and length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r, = 10.0 cm and r, = 90.0 cm mark, passed over pulleys, and masses of m, = 286 g and m, = 187 g are attached. Your TA asks you to determine the following. (a) The position r, on the rod where you would suspend mass m3 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, %3D 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 0F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). r3 0.602 m 0.49 F. See if you can write a condition for rotational equilibrium statement that will allow you to determine the position on the rod where we need to suspend the mass m, in order for the rod to remain stationary when released from a horizontal position. N %D -90 (b) Let's now remove the mass m, and determine the new mass ma you would need to suspend from the rod at the position ra = 20.0 cm 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? Express the direction of the force the pin exerts on the rod as the angle 0-, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). = 0.602 m4 kg F. 90 (c) Let's now remove the mass m, and determine the mass m, 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 5 from which you would suspend this mass in order to balance the rod and keep it horizontal if released from a horizontal position.

A block with mass m = 5.00 kg slides down a surface inclined 36.9° to the horizontal (Figure 1). The coefficient of kinetic friction is 0.27. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 11.1 kg and moment of inertia 0.500 kg - m? with respect to the axis of rotation. The string pulls without slipping at a perpendicular distance of 0.300 m from that axis. Part A What is the acceleration of the block down the plane? Express your answer in meters per second squared. ? a = 1.45 m/s? Figure 1 of 1 Part B What is the tension in the string? Express your answer in newtons. 5.00 kg ? T = 11.6 N 36.9 國

In part b) the moment which is in red color why doesn't equal -T( AP + Radius )  since they are perpendicular. Why did he use the components of T

The figure below shows an arm that is balancing a carton of milk in the hand. The mass of the carton of milk is 1.77 kg, and in the figure is the gravitational force on the carton. The biceps muscle applies a force Fg to the forearm directed up and to the right at an angle of 75.0° from vertical. The point where F is applied to the forearm is 8.00 cm to the left of the elbow joint and 25.0 cm to the right of the center of gravity of the milk carton. (For simplicity, ignore the weight of the forearm.) B Milk N -25.0 cm- What is the magnitude of FB (in N)? 75.0⁰ 8.00 cm i

Needs Complete typed solution with 100 % accuracy.

Needs Complete typed solution with 100 % accuracy.

The good expert Hand written solution is not allowed.

M, R m1 m2 Refer to the figure above for this problem. A wooden bldck of mass m, = 3.2 kg and a hollow block of mass m2 = 8.7 kg are connected by a rope which runs over a friction-less pulley. Assume that the pulley is a solid iron disc with a radius R = 0.3 m and mass M = 5.1 kg. The ramp is wedge- shaped and makes an angle of 0=36°. The coefficient of kinetic friction is 0.29 for both blocks and the wedgeshaped incline. (a) Draw force diagrams of both blocks and of the pulley. (b) Determine the acceleration of the two blocks. (c) Determine the tensions in the string on both sides of the pulley.

A string is wrapped many times around a pulley and is connected to a block with mb = 4.641 kg that is hanging vertically. The pulley consists of a wheel of radius 43.11 cm and mass mp constructed with spokes that have negligible mass. What is the magnitude of the acceleration of the block? Submit Answer Tries 0/99 6.455 kg тр ть

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?