Chapter 13, Problem 111P

Rod OA rotates counterclockwise at a constant angular rate θ˙ = 4 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r=(1.6cosθ)m. Both collars have a mass of 0.55 kg . Motion is in the horizontal plane. Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant θ = 45∘ Determine the magnitude of the force that OA exerts on the other collar at the instant θ = 45∘

The bulldozer below has a mass of 10 metric tons and the centre of gravity at G1 is 1 m and drives from rest. It carries a load of 1 metric ton with the centre of gravity G2 3m. The distance from the front wheel to the centre and the rear wheel to the centre is 1,7 m and 0,8 m respectively. Neglect the weight of the wheels. 1)Show all forces acting on the bulldozer 2)Determine the acceleration of the bulldozer neglecting the weight. 3)If the bulldozer increase speed to 15 m/s with a constant acceleration after it travelled 50 m. Calculate the normal force exerted on the front and rear wheels.

If the man pulls the strap with constant acceleration during a short time interval Δt, calculate the force (in Newtons) that he must exert in spinning up the disc.  These are the numbers. Strap's final speed = v = 1.5 m/s. The disc's radius is R = 0.4 m The small disc's radius is 2 cm The disc's mass is M = 2.4 kg The short time interval is Δt = 0.3 s The disc initially is non-rotating.

4. A six-pound weight hanging from the end of a spring is pulled 10 centimeters below its resting position and released; it takes 0.9 seconds to complete a cycle. Determine an equation for the motion of the weight, assuming that it is 10 centimeters below its resting position and rising at t = 0. 16165 -- below t=0 t=0.9

2. A mass of 2 kg is placed on a bar at a distance of r = 1 m from the point 0. Initially, the bar is in a stationary state, as shown in the figure below. At t = 0, the bar starts a counter clockwise rotation around the point O at a constant angular acceleration of 1 rad/s?. It is known that the mass can stop on the bar without sliding until 0 = 30°. Based on these givens, please answer the following questions. a. What is the static friction coefficient between the mass and the bar? b. When the sliding starts, will the mass be moving towards the origin or away from the origin? 1 rad/s? 2 kg r = 1m

The arm and seat of the amusement-park ride have a mass of 1.7 Mg, with the center of mass located at point G₁. The passenger seated at A has a mass of 117 kg, with the center of mass located at G₂.( Figure 1) Figure 4 m B G₁ 0 16 m Part A If the arm is raised to a position where 0 = 150° and released from rest, determine the speed of the passenger at the instan 0 = 0°. The arm has a radius of gyration of kG1 = 12 m about its center of mass G₁. Neglect the size of the passenger. Express your answer with the appropriate units. V = Value Submit μА Provide Feedback Request Answer Units ****** ? Next

Pulleys and ropes are massless and frictionless. The coefficient of static friction between the mass m2 and the surface is µ(s) and the coefficient of kinetic friction is µ(k). The velocity of the mass m2 is V2 and the acceleration is a2. Give your answer in terms of (Ɵ, m1, m2, g, µ(s), µ(k) and V2). Find a2 for V2>0. Hint: m1*a1=2*T-m1*g m2*a2=-T-cosƟ*m*g*µ(k) 2*x1=x2  =>  2*a1=a2

A metal cylinder rolls without slipping towards a ramp. Given a cylinder of m=15kg, r = 1m, and 0 = 40°, determine the angular velocity of the cylinder, o, if the cylinder rolls a length of 10m up the ramp. Use g = 9.81 m/s². Т

The spring-mounted 0.90-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate 0 = 6.2 rad/s. At a certain instant, r is increasing at the rate of 790 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.68, calculate the friction force Fexerted by the rod on the collar at this instant. Vertical (ונננננ Answer: F = i N