Block A (2 kg) on Block B (3 kg) on a smooth surface. Force 25 N is applied horizontally on B. mu between A and B is 0.5. Acceleration of A is: (g = 10 m/s^2) <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 330 130" style="max-width:330px;margin:0.5em auto;display:block;"> <title>Two stacked blocks with applied force on lower block</title> <rect width="330" height="130" fill="#faf9f5" rx="6"/> <defs><marker id="ah-q51-02" markerWidth="8" markerHeight="6" refX="8" refY="3" orient="auto"><polygon points="0 0, 8 3, 0 6" fill="#c6613f"/></marker></defs> <line x1="40" y1="110" x2="290" y2="110" stroke="#14140f" stroke-width="1.5"/> <rect x="110" y="60" width="100" height="50" fill="#f0e8e0" stroke="#14140f" stroke-width="1.5" rx="3"/> <text x="160" y="92" text-anchor="middle" font-size="11" font-family="sans-serif" fill="#14140f">B (3 kg)</text> <rect x="130" y="28" width="60" height="32" fill="#d4c8a8" stroke="#14140f" stroke-width="1.5" rx="3"/> <text x="160" y="50" text-anchor="middle" font-size="10" font-family="sans-serif" fill="#14140f">A (2kg)</text> <line x1="40" y1="85" x2="105" y2="85" stroke="#c6613f" stroke-width="2.5" marker-end="url(#ah-q51-02)"/> <text x="50" y="80" font-size="10" font-family="sans-serif" fill="#c6613f">F = 25 N</text> <text x="130" y="22" font-size="9" font-family="sans-serif" fill="#788c5d">&#956; = 0.5</text> </svg>

A 4 kg mass on a smooth 30-degree incline is connected to a 3 kg hanging mass via a frictionless pulley. Find acceleration. (g = 10 m/s^2) <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 350 190" style="max-width:350px;margin:0.5em auto;display:block;"> <title>Mass on incline connected to hanging mass via pulley</title> <rect width="350" height="190" fill="#faf9f5" rx="6"/> <polygon points="25,170 225,170 225,55" fill="none" stroke="#14140f" stroke-width="1.5"/> <g transform="rotate(-30,148,102)"> <rect x="125" y="80" width="40" height="30" fill="#f0e8e0" stroke="#14140f" stroke-width="1.5" rx="3"/> <text x="145" y="100" text-anchor="middle" font-size="10" font-family="sans-serif" fill="#14140f">4 kg</text> </g> <circle cx="235" cy="55" r="9" fill="none" stroke="#14140f" stroke-width="1.5"/> <line x1="170" y1="92" x2="228" y2="55" stroke="#14140f" stroke-width="1.5"/> <line x1="244" y1="55" x2="275" y2="55" stroke="#14140f" stroke-width="1"/> <line x1="275" y1="55" x2="275" y2="115" stroke="#14140f" stroke-width="1.5"/> <rect x="254" y="115" width="42" height="28" fill="#f0e8e0" stroke="#14140f" stroke-width="1.5" rx="3"/> <text x="275" y="134" text-anchor="middle" font-size="10" font-family="sans-serif" fill="#14140f">3 kg</text> <path d="M192,170 A33,33 0 0,0 205,155" fill="none" stroke="#14140f" stroke-width="1"/> <text x="190" y="163" font-size="10" font-family="sans-serif" fill="#14140f">30&#176;</text> </svg>

Minimum force to drag a 50 kg body on a rough surface (mu = 0.4) applied at angle theta with horizontal for which force is minimum: (g = 10 m/s^2)

Two masses 10 kg and 20 kg are connected by a light string over a frictionless pulley. What force must be applied downward on the 10 kg mass for the system to be in equilibrium?

A 4 kg block is placed on a 6 kg block on a smooth floor. mu between blocks = 0.5. If force 30 N is applied on the lower block, the acceleration of the upper block is: (g = 10 m/s^2)