10. Two blocks with masses M1 and M2 (M2 > M1) are connected via a massless rope and a pulley (a solid disk with a mass of Mp and radius R). M2 is suspended a distance d above the ground. R Mp The system is released from rest and the rope does not slip on the pulley. Find the speed of M, right before it hits the ground. Express your answer in terms of the given values and any constants. M1 M2 d

In an amusement park ride, a child stands against the wall of a cylindrical room that is then made to rotate. The floor drops downward and the child remains pinned against the wall. If the radius of the room is 2.15 m and the relevant coefficient of friction between the child and the wall is 0.600, with what minimum speed is the child moving if he is to remain pinned against the wall? 07.26 m/s O3.93 m/s O 12.1 m/s 5.93 m/s 9.80 m/s

A 280 gg block on a 52.0 cmcm -long string swings in a circle on a horizontal, frictionless table at 80.0 rpm What is the speed of the block? Express your answer with the appropriate units.   What is the tension in the string? Express your answer with the appropriate units.

Let's do this example, following the same steps that the example but with new numbers. r (0) = 4x0 8 = π rad Odot = 0.5 rad/s Odotdot 0.25 rad/s² Mass of the motorcycle is 150 kg. a. Now using the formula: ag = rö + 2rẻ what is the radial acceleration of the motorcycle? O 4.094 m/s² O 3.047 m/s² O 5.189 m/s² O 7.236 m/s² b. Let's find using the formula: tan = Note: is the derivation of the function r about 0. OOOO O 86.6 deg O 76.6 deg O 56.6 deg O 79.2 deg d. e. f. g. C. What is the magnitude of the friction force? Give your answer as an integer What is the magnitude of the normal force? Give your answer as an integer. If the path is defined by r (0) = 30². Using:tan find the angle at = rad. Give your answer with one decimal in degree. * (0) = 1/0² 0 (t) = 5t What is the magnitude r dot at t= 0.2 second? r (0) = 10² 0 (t) = 5t What is the magnitude r dot dot at t= 0.2 second?

4. A 2.5 kg ball rolls across a frictionless surface at a velocity of 2.5m/s. It then rolls up an incline. The incline has a coefficient of kinetic friction of .12, is 1.25 m long, and has a final change in elevation of .35m. Does the ball reach the top of the incline? If so, where does the ball land? If not, what is the velocity of the ball as it rolls off the bottom of the incline? 25kg 1.25m .35m

Please help solve for Fn

Consider an annular disk rolling down an inclined plane. The annular disk has mass 154 [g], inner radius 8.00 [cm] and outer radius 12.0 [cm]. The inclined plane has a slope that forms an angle of 44.6° with the ground. A.  Suppose that the coefficient of static friction ?s is large enough so that the annular disk rolls without slipping. What is the magnitude of the translation acceleration felt by the annular disk's center of mass in the direction parallel to the slope? B. What is the minimum value that the coefficient of static friction ?s must take so that the annular disk rolls without slipping?

In a charming 19th-century hotel, an old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 2.00 m in diameter (Figure 1). The elevator is raised and lowered by turning the disk, and the cable does not slip on the rim of the disk but turns with it. Part A At how many rpm must the disk turn to raise the elevator at 35.0 cm/s? Express your answer in revolutions per minute. Nνα ΑΣφ W = rpm Part B Figure 1 of 1 To start the elevator moving, it must be accelerated at g. What must be the angular acceleration of the disk, in rad/s? Express your answer in radians per second squared. Πν ΑΣφ ? Disk a = rad/s? Counterweight Part C Elevator

1. A wheel is spinning so that it goes around 6 times every second. A brake is then applied to the wheel, causing it to slow to a frequency of 3 times per second in 5 seconds. How many times does the wheel spin around while the brake is applied? Fill in the table with what is given and what is needed. All values in the table should be in terms of radians. ΔΘ @i Of а At X

R axis A disk of mass m and radius R, which is wound with a rope hanging from the ceiling, starts to roll down. The linear velocity of the ball when it has rolled 5 m down can be expressed as v = - (square root of a/b) where a and b are the smallest possible integers. Find the value of a+b. O Cannot calculate without values of m and R O 201 200 O 203