OBJECTS SUSPENDED BY STRINGS \& APPARENT WEIGHT
Laws of Motion

270259 A block of mass\(3 \mathrm{~kg}\) which is on a smooth inclined plane making an angie of \(30^{\circ}\) to the horizontal is connected by cord passing over light frictionless pulley to second block of mass \(2 \mathrm{~kg}\) hanging vertically. What is the acceleration of each block and what is the tension of the cord?

1 \(0.98 \mathrm{~m} / \mathrm{s}^{2} ; 17.6 \mathrm{~N}\)
2 \(1.98 \mathrm{~m} / \mathrm{s}^{2} ; 19.6 \mathrm{~N}\)
3 \(0.49 \mathrm{~m} / \mathrm{s}^{2} ; 9.8 \mathrm{~N}\)
4 \(1.47 \mathrm{~m} / \mathrm{s}^{2} ; 4.9 \mathrm{~N}\)
Laws of Motion

270260 If\(m_{1}=10 \mathrm{~kg}, m_{2}=4 \mathrm{~kg}, m_{3}=2 \mathrm{~kg}\), the acceleration of system is

1 \(5 g / 2\)
2 \(5 g / 3\)
3 \(5 g / 8\)
4 \(5 g / 14\)
Laws of Motion

270261 The string between blocks of masses '\(m\) ' and ' \(2 \mathrm{~m}\) ' is massless and inextensible.The system is suspended by a massless spring as shown. If the string is cut, the magnitudes of accelerations of masses \(2 m\) and \(m\) (immediately after cutting)

1 \(g, g\)
2 \(g, \frac{g}{2}\)
3 \(\frac{g}{2}, g\)
4 \(\frac{g}{2}, \frac{g}{2}\)
Laws of Motion

270262 All surfaces are smooth. The acceleration of mass\(m\) relative to the wedge is

1 \(g \sin \theta\)
2 \(g \sin \theta+a \cos \theta\)
3 \(g \sin \theta-a \cos \theta\)
4 \(a \cos \theta\)
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Laws of Motion

270259 A block of mass\(3 \mathrm{~kg}\) which is on a smooth inclined plane making an angie of \(30^{\circ}\) to the horizontal is connected by cord passing over light frictionless pulley to second block of mass \(2 \mathrm{~kg}\) hanging vertically. What is the acceleration of each block and what is the tension of the cord?

1 \(0.98 \mathrm{~m} / \mathrm{s}^{2} ; 17.6 \mathrm{~N}\)
2 \(1.98 \mathrm{~m} / \mathrm{s}^{2} ; 19.6 \mathrm{~N}\)
3 \(0.49 \mathrm{~m} / \mathrm{s}^{2} ; 9.8 \mathrm{~N}\)
4 \(1.47 \mathrm{~m} / \mathrm{s}^{2} ; 4.9 \mathrm{~N}\)
Laws of Motion

270260 If\(m_{1}=10 \mathrm{~kg}, m_{2}=4 \mathrm{~kg}, m_{3}=2 \mathrm{~kg}\), the acceleration of system is

1 \(5 g / 2\)
2 \(5 g / 3\)
3 \(5 g / 8\)
4 \(5 g / 14\)
Laws of Motion

270261 The string between blocks of masses '\(m\) ' and ' \(2 \mathrm{~m}\) ' is massless and inextensible.The system is suspended by a massless spring as shown. If the string is cut, the magnitudes of accelerations of masses \(2 m\) and \(m\) (immediately after cutting)

1 \(g, g\)
2 \(g, \frac{g}{2}\)
3 \(\frac{g}{2}, g\)
4 \(\frac{g}{2}, \frac{g}{2}\)
Laws of Motion

270262 All surfaces are smooth. The acceleration of mass\(m\) relative to the wedge is

1 \(g \sin \theta\)
2 \(g \sin \theta+a \cos \theta\)
3 \(g \sin \theta-a \cos \theta\)
4 \(a \cos \theta\)
Laws of Motion

270259 A block of mass\(3 \mathrm{~kg}\) which is on a smooth inclined plane making an angie of \(30^{\circ}\) to the horizontal is connected by cord passing over light frictionless pulley to second block of mass \(2 \mathrm{~kg}\) hanging vertically. What is the acceleration of each block and what is the tension of the cord?

1 \(0.98 \mathrm{~m} / \mathrm{s}^{2} ; 17.6 \mathrm{~N}\)
2 \(1.98 \mathrm{~m} / \mathrm{s}^{2} ; 19.6 \mathrm{~N}\)
3 \(0.49 \mathrm{~m} / \mathrm{s}^{2} ; 9.8 \mathrm{~N}\)
4 \(1.47 \mathrm{~m} / \mathrm{s}^{2} ; 4.9 \mathrm{~N}\)
Laws of Motion

270260 If\(m_{1}=10 \mathrm{~kg}, m_{2}=4 \mathrm{~kg}, m_{3}=2 \mathrm{~kg}\), the acceleration of system is

1 \(5 g / 2\)
2 \(5 g / 3\)
3 \(5 g / 8\)
4 \(5 g / 14\)
Laws of Motion

270261 The string between blocks of masses '\(m\) ' and ' \(2 \mathrm{~m}\) ' is massless and inextensible.The system is suspended by a massless spring as shown. If the string is cut, the magnitudes of accelerations of masses \(2 m\) and \(m\) (immediately after cutting)

1 \(g, g\)
2 \(g, \frac{g}{2}\)
3 \(\frac{g}{2}, g\)
4 \(\frac{g}{2}, \frac{g}{2}\)
Laws of Motion

270262 All surfaces are smooth. The acceleration of mass\(m\) relative to the wedge is

1 \(g \sin \theta\)
2 \(g \sin \theta+a \cos \theta\)
3 \(g \sin \theta-a \cos \theta\)
4 \(a \cos \theta\)
Laws of Motion

270259 A block of mass\(3 \mathrm{~kg}\) which is on a smooth inclined plane making an angie of \(30^{\circ}\) to the horizontal is connected by cord passing over light frictionless pulley to second block of mass \(2 \mathrm{~kg}\) hanging vertically. What is the acceleration of each block and what is the tension of the cord?

1 \(0.98 \mathrm{~m} / \mathrm{s}^{2} ; 17.6 \mathrm{~N}\)
2 \(1.98 \mathrm{~m} / \mathrm{s}^{2} ; 19.6 \mathrm{~N}\)
3 \(0.49 \mathrm{~m} / \mathrm{s}^{2} ; 9.8 \mathrm{~N}\)
4 \(1.47 \mathrm{~m} / \mathrm{s}^{2} ; 4.9 \mathrm{~N}\)
Laws of Motion

270260 If\(m_{1}=10 \mathrm{~kg}, m_{2}=4 \mathrm{~kg}, m_{3}=2 \mathrm{~kg}\), the acceleration of system is

1 \(5 g / 2\)
2 \(5 g / 3\)
3 \(5 g / 8\)
4 \(5 g / 14\)
Laws of Motion

270261 The string between blocks of masses '\(m\) ' and ' \(2 \mathrm{~m}\) ' is massless and inextensible.The system is suspended by a massless spring as shown. If the string is cut, the magnitudes of accelerations of masses \(2 m\) and \(m\) (immediately after cutting)

1 \(g, g\)
2 \(g, \frac{g}{2}\)
3 \(\frac{g}{2}, g\)
4 \(\frac{g}{2}, \frac{g}{2}\)
Laws of Motion

270262 All surfaces are smooth. The acceleration of mass\(m\) relative to the wedge is

1 \(g \sin \theta\)
2 \(g \sin \theta+a \cos \theta\)
3 \(g \sin \theta-a \cos \theta\)
4 \(a \cos \theta\)