A spring, 𝑘 = 950 𝑁/m, attached to a 1.8 kg block is compressed by 20 cm and then
released. If the coefficients of friction between the block and the floor are 𝜇𝑠 = 0.52 and 𝜇𝑘 =
0.38, determine how far does the block slide on the floor.
A 16kg mass is put on a 30° frictionless inclined plane and is attached to a pulley that is connected to a 5kg hanging mass. What should the mass of the object in the inclined plane be in order for the system to attain static equilibrium?
An 70 kilogram guy descends from a height of 10.0 m by holding onto a rope that goes through a frictionless pulley to a 55 kg sandbag. What is the speed at which the man hits the ground if he starts from rest?
Find the magnitude and direction of the vector represented by the following pairs of components:
(a) Ax = -8.60 cm, Ay = 5.20 cm; (b) Ax = -9.70 m., Ay = -2.45 m; (c) Ax = 7.75 km, Ay = -2.70 km.
A cord 10m long is hung between two posts 6m apart. What maximum load hung at the middle can the system support if the tensile strength of the cord is 350N?
a. 36 ^ c to rad b. 125 degrees to rad c. 2pi / 5 to degrees
1. Convert the following into indicated angle measure unit:
d. pi / 7 to degrees
Calculation of the instantaneous velocity at a specific time,given x is in meters and t is in seconds.
Calculate the instantaneous velocity of the object at time t=3s
A particle moves in a straight line with its position given by the following equation:x(t)=t^4-4t^3+2t^2+3t+6
a.Find its position after 1 second
b.Find its velocity after 2 seconds
A car has a "lateral acceleration" of 8.5 m/s². This represents the maximum centripetal acceleration that can be attained without skidding out of the circular path. If the car is traveling at a constant 40 m/s, what is the minimum radius of curve it can negotiate? (Assume the curve is unbanked).
A bodybuilder holds a dumbbell of weight Wd. His arm is horizontal and weighs 37 N. The deltoid muscle is assumed to be the only muscle acting and is attached to the arm as shown. The maximum force M→ that the deltoid muscle can supply has a magnitude of 1887 N. The distances that locate where the various forces act on the arm. What is the weight of the heaviest dumbbell that can be held by the bodybuilder?