A block of mass m₁ = 1.60 kg and a block of mass m₂ = 5.75 kg are connected by a massless string over a pulley in the shape of a solid disk having a mass of M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of 8 = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. M, R m₁ m₂ (a) Determine the acceleration of the two blocks. (Enter the magnitude of the acceleration.) m/s² (b) Determine the tensions in the string on both sides of the pulley. left of the pulley N right of the pulley N

When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, F, is supported by the force n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and e when F, = n = 675 N. (For e, enter the smaller of the two possible values between 0° and 90°.) Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm T = N R = N Need Help? Read It

A box descends a ramp and lands on a surface. The box exits the side of the table as it meets the bottom of the tamp, becoming a horizontal projectile. It lands x metres away from the table. The same ramp may be rolled down by a solid sphere with the same coefficient of friction, mass, and height. Will the sphere land a long way away? fewer than a lot more At a similar size B. Have a paragraph-length description of the logic.

A uniform plank of length 2.00 m and mass 27.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below in each rope when a 725-N person is d = 0.500 m from the left end. magnitude of T, N magnitude of T, N magnitude of T, N 40.0° -2.00 m

A wheel of radius 0.269 m, which we can model as a thin disk, is mounted on a frictionless horizontal axis. The mass of the wheel is 2.44 kg. A massless cord wrapped around the wheel is attached to a block of 4.16 kg that slides on a horizontal frictionless surface. If a horizontal force P with a magnitude of 10.1 N is applied to the block as shown below. If the wheel and block start at rest, and the block is moved through a displacement of 2.60 m what is the final angular velocity of the wheel in rad/s, assuming the cord does not slip. P

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 small block of mass 1.26 kg slides without friction on a horizontal table. Initially it moves in a circle of radius Ro = 0.6 m with a speed 1.5 m/s. It is held in its path by a string that passes through a small hole at the center of the circle. The string is then pulled down a distance of 0.12 m.( Ro - R = 0.12 m.) It is pulled so slowly that the object continues to move in a circle of continually decreasing radius. 1) While the string in pulling in the block, which of the following qualities of the block is conserved (circle all that are correct): a) Rotational kinetic energy (b) Angular momentum c) Linear momentum d) Mechanical energy e) None of the above √/2) What is the final linear speed of the block (in m/sec)? 1.5 m/sec (3) How much work was done by the force that pulled on the string?0.915

Item 9 A garage door is mounted on an overhead rail (Figure 1). The wheels at A and B have rusted so that they do not roll, but rather slide along the track. The coefficient of kinetic friction is 0.54. The distance between the wheels is 2.00 m, and each is 0.50 m from the vertical sides of the door. The door is uniform and weighs 900 N. It is pushed to the left at constant speed by a horizontal force F, that is applied as shown in the figure. Figure B k A K 2.00 m -3.00 m h F 1 of 1 If the distance his 1.60 m, what is the vertical component of the force exerted on the wheel A by the track? Express your answer to two significant figures and include the appropriate units. μA ? nA = Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B If the distance h is 1.60 m, what is the vertical component of the force exerted on the wheel B by the track? Express your answer with the appropriate units. μÅ ? nB = Value Units Submit Request Answer Part…

A long limp spring is hung from a beam; the spring's bottom is 660 mm above the table. A 0.50 kg cylinder is hooked to the spring's bottom while the spring hangs relaxed. When the cylinder is dropped, it turns around just above the table, where the spring's bottom had been stretched to 10 mm above the table. What is the cylinder's velocity, half-way to the bottom turn-around?