Homework 5

MEE 2082 Applied Mechanics: Dynamics

Summer 2022

Problem 1

If the wedge moves to the right with a constant velocity v, determine the angular velocity of the rod as a function of q.

Problem 2

The crate is transported on a platform which rests on rollers, each having a radius r = 65 mm. If the rollers do not slip,

determine their angular velocity w if the platform moves forward with a velocity v = 4 m/s.

Problem 3

Arm AB has an angular velocity of w = 1.8 rad/s and an angular acceleration of a = 0.4 rad/s2. If no slipping occurs between the

disk D and the fixed curved surface, determine the angular velocity w` and angular acceleration a` of the disk D.

Problem 4

The jet aircraft has a total mass of 22 Mg and a center of mass at G. Initially at take-off the two engines provide a thrust 2T = 4 kN

and T` = 5 kN. Determine the acceleration of the plane and the normal reactions of the nose wheel and each of two wing wheels

located at B. Neglect the mass of the wheels and, due to low velocity, neglect any lift caused by the wings.

Problem 5

The 150-kg uniform crate rests on the 18-kg cart. Determine the maximum force P that can be applied to the handle without

causing the crate to slip or tip on the cart. The coefficient of static friction between the crate and cart is 0.27.

Problem 6

The uniform 28-kg plate is released from rest at the position shown. Determine its initial angular acceleration and the horizontal

and vertical reactions at the pin A.

Problem 7

If the cord at B suddenly fails, determine the horizontal and vertical components of the initial reaction at the pin A, and the angular

acceleration of the 150-kg beam. Treat the beam as a uniform slender rod.

600 N

Problem 8

The bicyclist descends the 20-deg incline, as shown. As the bicyclist applies the brakes, what deceleration would cause the bicycle

to tip about the front wheel A? Assume the combined center of mass of the bicycle and the rider at point G.

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